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Simplifying -252 = -7(1 + 7m) -252 = (1 * -7 + 7m * -7) -252 = (-7 + -49m) Solving -252 = -7 + -49m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '49m' to each side of the equation. -252 + 49m = -7 + -49m + 49m Combine like terms: -49m + 49m = 0 -252 + 49m = -7 + 0 -252 + 49m = -7 Add '252' to each side of the equation. -252 + 252 + 49m = -7 + 252 Combine like terms: -252 + 252 = 0 0 + 49m = -7 + 252 49m = -7 + 252 Combine like terms: -7 + 252 = 245 49m = 245 Divide each side by '49'. m = 5 Simplifying m = 5
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