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Simplifying -6m + 21 + -6(m + -2) = 2m + -1(7m + -4) + -3m + 1 Reorder the terms: -6m + 21 + -6(-2 + m) = 2m + -1(7m + -4) + -3m + 1 -6m + 21 + (-2 * -6 + m * -6) = 2m + -1(7m + -4) + -3m + 1 -6m + 21 + (12 + -6m) = 2m + -1(7m + -4) + -3m + 1 Reorder the terms: 21 + 12 + -6m + -6m = 2m + -1(7m + -4) + -3m + 1 Combine like terms: 21 + 12 = 33 33 + -6m + -6m = 2m + -1(7m + -4) + -3m + 1 Combine like terms: -6m + -6m = -12m 33 + -12m = 2m + -1(7m + -4) + -3m + 1 Reorder the terms: 33 + -12m = 2m + -1(-4 + 7m) + -3m + 1 33 + -12m = 2m + (-4 * -1 + 7m * -1) + -3m + 1 33 + -12m = 2m + (4 + -7m) + -3m + 1 Reorder the terms: 33 + -12m = 4 + 1 + 2m + -7m + -3m Combine like terms: 4 + 1 = 5 33 + -12m = 5 + 2m + -7m + -3m Combine like terms: 2m + -7m = -5m 33 + -12m = 5 + -5m + -3m Combine like terms: -5m + -3m = -8m 33 + -12m = 5 + -8m Solving 33 + -12m = 5 + -8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '8m' to each side of the equation. 33 + -12m + 8m = 5 + -8m + 8m Combine like terms: -12m + 8m = -4m 33 + -4m = 5 + -8m + 8m Combine like terms: -8m + 8m = 0 33 + -4m = 5 + 0 33 + -4m = 5 Add '-33' to each side of the equation. 33 + -33 + -4m = 5 + -33 Combine like terms: 33 + -33 = 0 0 + -4m = 5 + -33 -4m = 5 + -33 Combine like terms: 5 + -33 = -28 -4m = -28 Divide each side by '-4'. m = 7 Simplifying m = 7
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