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Simplifying -4m + 22 + -3(m + -1) = 6m + -1(8m + -8) + -2m + 2 Reorder the terms: -4m + 22 + -3(-1 + m) = 6m + -1(8m + -8) + -2m + 2 -4m + 22 + (-1 * -3 + m * -3) = 6m + -1(8m + -8) + -2m + 2 -4m + 22 + (3 + -3m) = 6m + -1(8m + -8) + -2m + 2 Reorder the terms: 22 + 3 + -4m + -3m = 6m + -1(8m + -8) + -2m + 2 Combine like terms: 22 + 3 = 25 25 + -4m + -3m = 6m + -1(8m + -8) + -2m + 2 Combine like terms: -4m + -3m = -7m 25 + -7m = 6m + -1(8m + -8) + -2m + 2 Reorder the terms: 25 + -7m = 6m + -1(-8 + 8m) + -2m + 2 25 + -7m = 6m + (-8 * -1 + 8m * -1) + -2m + 2 25 + -7m = 6m + (8 + -8m) + -2m + 2 Reorder the terms: 25 + -7m = 8 + 2 + 6m + -8m + -2m Combine like terms: 8 + 2 = 10 25 + -7m = 10 + 6m + -8m + -2m Combine like terms: 6m + -8m = -2m 25 + -7m = 10 + -2m + -2m Combine like terms: -2m + -2m = -4m 25 + -7m = 10 + -4m Solving 25 + -7m = 10 + -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. 25 + -7m + 4m = 10 + -4m + 4m Combine like terms: -7m + 4m = -3m 25 + -3m = 10 + -4m + 4m Combine like terms: -4m + 4m = 0 25 + -3m = 10 + 0 25 + -3m = 10 Add '-25' to each side of the equation. 25 + -25 + -3m = 10 + -25 Combine like terms: 25 + -25 = 0 0 + -3m = 10 + -25 -3m = 10 + -25 Combine like terms: 10 + -25 = -15 -3m = -15 Divide each side by '-3'. m = 5 Simplifying m = 5
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