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Simplifying -4m + 30 + -7(m + -3) = 3m + -1(6m + -3) + -2m + 6 Reorder the terms: -4m + 30 + -7(-3 + m) = 3m + -1(6m + -3) + -2m + 6 -4m + 30 + (-3 * -7 + m * -7) = 3m + -1(6m + -3) + -2m + 6 -4m + 30 + (21 + -7m) = 3m + -1(6m + -3) + -2m + 6 Reorder the terms: 30 + 21 + -4m + -7m = 3m + -1(6m + -3) + -2m + 6 Combine like terms: 30 + 21 = 51 51 + -4m + -7m = 3m + -1(6m + -3) + -2m + 6 Combine like terms: -4m + -7m = -11m 51 + -11m = 3m + -1(6m + -3) + -2m + 6 Reorder the terms: 51 + -11m = 3m + -1(-3 + 6m) + -2m + 6 51 + -11m = 3m + (-3 * -1 + 6m * -1) + -2m + 6 51 + -11m = 3m + (3 + -6m) + -2m + 6 Reorder the terms: 51 + -11m = 3 + 6 + 3m + -6m + -2m Combine like terms: 3 + 6 = 9 51 + -11m = 9 + 3m + -6m + -2m Combine like terms: 3m + -6m = -3m 51 + -11m = 9 + -3m + -2m Combine like terms: -3m + -2m = -5m 51 + -11m = 9 + -5m Solving 51 + -11m = 9 + -5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '5m' to each side of the equation. 51 + -11m + 5m = 9 + -5m + 5m Combine like terms: -11m + 5m = -6m 51 + -6m = 9 + -5m + 5m Combine like terms: -5m + 5m = 0 51 + -6m = 9 + 0 51 + -6m = 9 Add '-51' to each side of the equation. 51 + -51 + -6m = 9 + -51 Combine like terms: 51 + -51 = 0 0 + -6m = 9 + -51 -6m = 9 + -51 Combine like terms: 9 + -51 = -42 -6m = -42 Divide each side by '-6'. m = 7 Simplifying m = 7
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