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Simplifying -3m + 21 + -7(m + -3) = 8m + -1(4m + -9) + -6m + 1 Reorder the terms: -3m + 21 + -7(-3 + m) = 8m + -1(4m + -9) + -6m + 1 -3m + 21 + (-3 * -7 + m * -7) = 8m + -1(4m + -9) + -6m + 1 -3m + 21 + (21 + -7m) = 8m + -1(4m + -9) + -6m + 1 Reorder the terms: 21 + 21 + -3m + -7m = 8m + -1(4m + -9) + -6m + 1 Combine like terms: 21 + 21 = 42 42 + -3m + -7m = 8m + -1(4m + -9) + -6m + 1 Combine like terms: -3m + -7m = -10m 42 + -10m = 8m + -1(4m + -9) + -6m + 1 Reorder the terms: 42 + -10m = 8m + -1(-9 + 4m) + -6m + 1 42 + -10m = 8m + (-9 * -1 + 4m * -1) + -6m + 1 42 + -10m = 8m + (9 + -4m) + -6m + 1 Reorder the terms: 42 + -10m = 9 + 1 + 8m + -4m + -6m Combine like terms: 9 + 1 = 10 42 + -10m = 10 + 8m + -4m + -6m Combine like terms: 8m + -4m = 4m 42 + -10m = 10 + 4m + -6m Combine like terms: 4m + -6m = -2m 42 + -10m = 10 + -2m Solving 42 + -10m = 10 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 42 + -10m + 2m = 10 + -2m + 2m Combine like terms: -10m + 2m = -8m 42 + -8m = 10 + -2m + 2m Combine like terms: -2m + 2m = 0 42 + -8m = 10 + 0 42 + -8m = 10 Add '-42' to each side of the equation. 42 + -42 + -8m = 10 + -42 Combine like terms: 42 + -42 = 0 0 + -8m = 10 + -42 -8m = 10 + -42 Combine like terms: 10 + -42 = -32 -8m = -32 Divide each side by '-8'. m = 4 Simplifying m = 4
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