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Simplifying -4m + 45 + -8(m + -2) = 7m + -1(5m + -4) + -3m + 2 Reorder the terms: -4m + 45 + -8(-2 + m) = 7m + -1(5m + -4) + -3m + 2 -4m + 45 + (-2 * -8 + m * -8) = 7m + -1(5m + -4) + -3m + 2 -4m + 45 + (16 + -8m) = 7m + -1(5m + -4) + -3m + 2 Reorder the terms: 45 + 16 + -4m + -8m = 7m + -1(5m + -4) + -3m + 2 Combine like terms: 45 + 16 = 61 61 + -4m + -8m = 7m + -1(5m + -4) + -3m + 2 Combine like terms: -4m + -8m = -12m 61 + -12m = 7m + -1(5m + -4) + -3m + 2 Reorder the terms: 61 + -12m = 7m + -1(-4 + 5m) + -3m + 2 61 + -12m = 7m + (-4 * -1 + 5m * -1) + -3m + 2 61 + -12m = 7m + (4 + -5m) + -3m + 2 Reorder the terms: 61 + -12m = 4 + 2 + 7m + -5m + -3m Combine like terms: 4 + 2 = 6 61 + -12m = 6 + 7m + -5m + -3m Combine like terms: 7m + -5m = 2m 61 + -12m = 6 + 2m + -3m Combine like terms: 2m + -3m = -1m 61 + -12m = 6 + -1m Solving 61 + -12m = 6 + -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. 61 + -12m + m = 6 + -1m + m Combine like terms: -12m + m = -11m 61 + -11m = 6 + -1m + m Combine like terms: -1m + m = 0 61 + -11m = 6 + 0 61 + -11m = 6 Add '-61' to each side of the equation. 61 + -61 + -11m = 6 + -61 Combine like terms: 61 + -61 = 0 0 + -11m = 6 + -61 -11m = 6 + -61 Combine like terms: 6 + -61 = -55 -11m = -55 Divide each side by '-11'. m = 5 Simplifying m = 5
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