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Simplifying 7(m + 7) = 2(-2m + 68.5) Reorder the terms: 7(7 + m) = 2(-2m + 68.5) (7 * 7 + m * 7) = 2(-2m + 68.5) (49 + 7m) = 2(-2m + 68.5) Reorder the terms: 49 + 7m = 2(68.5 + -2m) 49 + 7m = (68.5 * 2 + -2m * 2) 49 + 7m = (137 + -4m) Solving 49 + 7m = 137 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 49 + 7m + 4m = 137 + -4m + 4m Combine like terms: 7m + 4m = 11m 49 + 11m = 137 + -4m + 4m Combine like terms: -4m + 4m = 0 49 + 11m = 137 + 0 49 + 11m = 137 Add '-49' to each side of the equation. 49 + -49 + 11m = 137 + -49 Combine like terms: 49 + -49 = 0 0 + 11m = 137 + -49 11m = 137 + -49 Combine like terms: 137 + -49 = 88 11m = 88 Divide each side by '11'. m = 8 Simplifying m = 8
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