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Simplifying 5(m + 1) = 7(m + -1) * 1 Reorder the terms: 5(1 + m) = 7(m + -1) * 1 (1 * 5 + m * 5) = 7(m + -1) * 1 (5 + 5m) = 7(m + -1) * 1 Reorder the terms: 5 + 5m = 7(-1 + m) * 1 Reorder the terms for easier multiplication: 5 + 5m = 7 * 1(-1 + m) Multiply 7 * 1 5 + 5m = 7(-1 + m) 5 + 5m = (-1 * 7 + m * 7) 5 + 5m = (-7 + 7m) Solving 5 + 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. 5 + 5m + -7m = -7 + 7m + -7m Combine like terms: 5m + -7m = -2m 5 + -2m = -7 + 7m + -7m Combine like terms: 7m + -7m = 0 5 + -2m = -7 + 0 5 + -2m = -7 Add '-5' to each side of the equation. 5 + -5 + -2m = -7 + -5 Combine like terms: 5 + -5 = 0 0 + -2m = -7 + -5 -2m = -7 + -5 Combine like terms: -7 + -5 = -12 -2m = -12 Divide each side by '-2'. m = 6 Simplifying m = 6
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