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Simplifying -7(1 + -1m) + -2 = 2(m + -2) (1 * -7 + -1m * -7) + -2 = 2(m + -2) (-7 + 7m) + -2 = 2(m + -2) Reorder the terms: -7 + -2 + 7m = 2(m + -2) Combine like terms: -7 + -2 = -9 -9 + 7m = 2(m + -2) Reorder the terms: -9 + 7m = 2(-2 + m) -9 + 7m = (-2 * 2 + m * 2) -9 + 7m = (-4 + 2m) Solving -9 + 7m = -4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -9 + 7m + -2m = -4 + 2m + -2m Combine like terms: 7m + -2m = 5m -9 + 5m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 -9 + 5m = -4 + 0 -9 + 5m = -4 Add '9' to each side of the equation. -9 + 9 + 5m = -4 + 9 Combine like terms: -9 + 9 = 0 0 + 5m = -4 + 9 5m = -4 + 9 Combine like terms: -4 + 9 = 5 5m = 5 Divide each side by '5'. m = 1 Simplifying m = 1
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