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Simplifying 5(m + 2) = 7(m + -1) Reorder the terms: 5(2 + m) = 7(m + -1) (2 * 5 + m * 5) = 7(m + -1) (10 + 5m) = 7(m + -1) Reorder the terms: 10 + 5m = 7(-1 + m) 10 + 5m = (-1 * 7 + m * 7) 10 + 5m = (-7 + 7m) Solving 10 + 5m = -7 + 7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-7m' to each side of the equation. 10 + 5m + -7m = -7 + 7m + -7m Combine like terms: 5m + -7m = -2m 10 + -2m = -7 + 7m + -7m Combine like terms: 7m + -7m = 0 10 + -2m = -7 + 0 10 + -2m = -7 Add '-10' to each side of the equation. 10 + -10 + -2m = -7 + -10 Combine like terms: 10 + -10 = 0 0 + -2m = -7 + -10 -2m = -7 + -10 Combine like terms: -7 + -10 = -17 -2m = -17 Divide each side by '-2'. m = 8.5 Simplifying m = 8.5
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