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Simplifying -2m + 21 + -9(m + -3) = 6m + -1(3m + -5) + -7m + 8 Reorder the terms: -2m + 21 + -9(-3 + m) = 6m + -1(3m + -5) + -7m + 8 -2m + 21 + (-3 * -9 + m * -9) = 6m + -1(3m + -5) + -7m + 8 -2m + 21 + (27 + -9m) = 6m + -1(3m + -5) + -7m + 8 Reorder the terms: 21 + 27 + -2m + -9m = 6m + -1(3m + -5) + -7m + 8 Combine like terms: 21 + 27 = 48 48 + -2m + -9m = 6m + -1(3m + -5) + -7m + 8 Combine like terms: -2m + -9m = -11m 48 + -11m = 6m + -1(3m + -5) + -7m + 8 Reorder the terms: 48 + -11m = 6m + -1(-5 + 3m) + -7m + 8 48 + -11m = 6m + (-5 * -1 + 3m * -1) + -7m + 8 48 + -11m = 6m + (5 + -3m) + -7m + 8 Reorder the terms: 48 + -11m = 5 + 8 + 6m + -3m + -7m Combine like terms: 5 + 8 = 13 48 + -11m = 13 + 6m + -3m + -7m Combine like terms: 6m + -3m = 3m 48 + -11m = 13 + 3m + -7m Combine like terms: 3m + -7m = -4m 48 + -11m = 13 + -4m Solving 48 + -11m = 13 + -4m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '4m' to each side of the equation. 48 + -11m + 4m = 13 + -4m + 4m Combine like terms: -11m + 4m = -7m 48 + -7m = 13 + -4m + 4m Combine like terms: -4m + 4m = 0 48 + -7m = 13 + 0 48 + -7m = 13 Add '-48' to each side of the equation. 48 + -48 + -7m = 13 + -48 Combine like terms: 48 + -48 = 0 0 + -7m = 13 + -48 -7m = 13 + -48 Combine like terms: 13 + -48 = -35 -7m = -35 Divide each side by '-7'. m = 5 Simplifying m = 5
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