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Simplifying -7(12 + -1m) = -1(m + -8) (12 * -7 + -1m * -7) = -1(m + -8) (-84 + 7m) = -1(m + -8) Reorder the terms: -84 + 7m = -1(-8 + m) -84 + 7m = (-8 * -1 + m * -1) -84 + 7m = (8 + -1m) Solving -84 + 7m = 8 + -1m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add 'm' to each side of the equation. -84 + 7m + m = 8 + -1m + m Combine like terms: 7m + m = 8m -84 + 8m = 8 + -1m + m Combine like terms: -1m + m = 0 -84 + 8m = 8 + 0 -84 + 8m = 8 Add '84' to each side of the equation. -84 + 84 + 8m = 8 + 84 Combine like terms: -84 + 84 = 0 0 + 8m = 8 + 84 8m = 8 + 84 Combine like terms: 8 + 84 = 92 8m = 92 Divide each side by '8'. m = 11.5 Simplifying m = 11.5
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