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Simplifying -9m + 51 + -7(m + -4) = 5m + -1(4m + -3) + -7m + 6 Reorder the terms: -9m + 51 + -7(-4 + m) = 5m + -1(4m + -3) + -7m + 6 -9m + 51 + (-4 * -7 + m * -7) = 5m + -1(4m + -3) + -7m + 6 -9m + 51 + (28 + -7m) = 5m + -1(4m + -3) + -7m + 6 Reorder the terms: 51 + 28 + -9m + -7m = 5m + -1(4m + -3) + -7m + 6 Combine like terms: 51 + 28 = 79 79 + -9m + -7m = 5m + -1(4m + -3) + -7m + 6 Combine like terms: -9m + -7m = -16m 79 + -16m = 5m + -1(4m + -3) + -7m + 6 Reorder the terms: 79 + -16m = 5m + -1(-3 + 4m) + -7m + 6 79 + -16m = 5m + (-3 * -1 + 4m * -1) + -7m + 6 79 + -16m = 5m + (3 + -4m) + -7m + 6 Reorder the terms: 79 + -16m = 3 + 6 + 5m + -4m + -7m Combine like terms: 3 + 6 = 9 79 + -16m = 9 + 5m + -4m + -7m Combine like terms: 5m + -4m = 1m 79 + -16m = 9 + 1m + -7m Combine like terms: 1m + -7m = -6m 79 + -16m = 9 + -6m Solving 79 + -16m = 9 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 79 + -16m + 6m = 9 + -6m + 6m Combine like terms: -16m + 6m = -10m 79 + -10m = 9 + -6m + 6m Combine like terms: -6m + 6m = 0 79 + -10m = 9 + 0 79 + -10m = 9 Add '-79' to each side of the equation. 79 + -79 + -10m = 9 + -79 Combine like terms: 79 + -79 = 0 0 + -10m = 9 + -79 -10m = 9 + -79 Combine like terms: 9 + -79 = -70 -10m = -70 Divide each side by '-10'. m = 7 Simplifying m = 7
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