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#1 Solving Equations Example#1: Solve & justify. Solve linear equations using a general strategy. -(3m -6) = 5-m Given Step 1. Simplify each side of
#1 Solving Equations Example#1: Solve & justify. Solve linear equations using a general strategy. -(3m -6) = 5-m Given Step 1. Simplify each side of the equation as much as possible. Use the Distributive Property to remove any parentheses. Distributi 2m - 4 =5-m Combine like terms. 2m + m -4=5-m+m Addition Step 2. Collect all the variable terms on one side of the equation. (Add m to Use the Addition or Subtraction Property of Equality. 3m - 4=5 Simplify Step 3. Collect all the constant terms on the other side of the equation. 3m - 4+4=5+4 Addition p Use the Addition or Subtraction Property of Equality. (Add 4 to b 3m = 9 Simplify Step 4. Make the coefficient of the variable term equal to 1. Use the Multiplication or Division Property of Equality. 3m 3 9 Division pro State the solution to the equation. Divide 3 to m = 3 Simplify Check the solution (optional): Substitute the solution into the original equation to make sure the result is a true statement. 1 . Solve each equation for x. Provide written justification for each step of your solution. (a) 5(2x - 1) = 3(x + 3) (b) 5x - 6+x=2(x+5)
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