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Simplifying -7m + 16 + -4(m + -2) = 6m + -1(8m + -7) + -5m + 5 Reorder the terms: -7m + 16 + -4(-2 + m) = 6m + -1(8m + -7) + -5m + 5 -7m + 16 + (-2 * -4 + m * -4) = 6m + -1(8m + -7) + -5m + 5 -7m + 16 + (8 + -4m) = 6m + -1(8m + -7) + -5m + 5 Reorder the terms: 16 + 8 + -7m + -4m = 6m + -1(8m + -7) + -5m + 5 Combine like terms: 16 + 8 = 24 24 + -7m + -4m = 6m + -1(8m + -7) + -5m + 5 Combine like terms: -7m + -4m = -11m 24 + -11m = 6m + -1(8m + -7) + -5m + 5 Reorder the terms: 24 + -11m = 6m + -1(-7 + 8m) + -5m + 5 24 + -11m = 6m + (-7 * -1 + 8m * -1) + -5m + 5 24 + -11m = 6m + (7 + -8m) + -5m + 5 Reorder the terms: 24 + -11m = 7 + 5 + 6m + -8m + -5m Combine like terms: 7 + 5 = 12 24 + -11m = 12 + 6m + -8m + -5m Combine like terms: 6m + -8m = -2m 24 + -11m = 12 + -2m + -5m Combine like terms: -2m + -5m = -7m 24 + -11m = 12 + -7m Solving 24 + -11m = 12 + -7m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7m' to each side of the equation. 24 + -11m + 7m = 12 + -7m + 7m Combine like terms: -11m + 7m = -4m 24 + -4m = 12 + -7m + 7m Combine like terms: -7m + 7m = 0 24 + -4m = 12 + 0 24 + -4m = 12 Add '-24' to each side of the equation. 24 + -24 + -4m = 12 + -24 Combine like terms: 24 + -24 = 0 0 + -4m = 12 + -24 -4m = 12 + -24 Combine like terms: 12 + -24 = -12 -4m = -12 Divide each side by '-4'. m = 3 Simplifying m = 3
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