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Simplifying -7m + 55 + -5(m + -4) = 8m + -1(3m + -2) + -6m + 7 Reorder the terms: -7m + 55 + -5(-4 + m) = 8m + -1(3m + -2) + -6m + 7 -7m + 55 + (-4 * -5 + m * -5) = 8m + -1(3m + -2) + -6m + 7 -7m + 55 + (20 + -5m) = 8m + -1(3m + -2) + -6m + 7 Reorder the terms: 55 + 20 + -7m + -5m = 8m + -1(3m + -2) + -6m + 7 Combine like terms: 55 + 20 = 75 75 + -7m + -5m = 8m + -1(3m + -2) + -6m + 7 Combine like terms: -7m + -5m = -12m 75 + -12m = 8m + -1(3m + -2) + -6m + 7 Reorder the terms: 75 + -12m = 8m + -1(-2 + 3m) + -6m + 7 75 + -12m = 8m + (-2 * -1 + 3m * -1) + -6m + 7 75 + -12m = 8m + (2 + -3m) + -6m + 7 Reorder the terms: 75 + -12m = 2 + 7 + 8m + -3m + -6m Combine like terms: 2 + 7 = 9 75 + -12m = 9 + 8m + -3m + -6m Combine like terms: 8m + -3m = 5m 75 + -12m = 9 + 5m + -6m Combine like terms: 5m + -6m = -1m 75 + -12m = 9 + -1m Solving 75 + -12m = 9 + -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. 75 + -12m + m = 9 + -1m + m Combine like terms: -12m + m = -11m 75 + -11m = 9 + -1m + m Combine like terms: -1m + m = 0 75 + -11m = 9 + 0 75 + -11m = 9 Add '-75' to each side of the equation. 75 + -75 + -11m = 9 + -75 Combine like terms: 75 + -75 = 0 0 + -11m = 9 + -75 -11m = 9 + -75 Combine like terms: 9 + -75 = -66 -11m = -66 Divide each side by '-11'. m = 6 Simplifying m = 6
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