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Simplifying -6m + 26 + -4(m + -4) = 5m + -1(8m + -5) + -3m + 9 Reorder the terms: -6m + 26 + -4(-4 + m) = 5m + -1(8m + -5) + -3m + 9 -6m + 26 + (-4 * -4 + m * -4) = 5m + -1(8m + -5) + -3m + 9 -6m + 26 + (16 + -4m) = 5m + -1(8m + -5) + -3m + 9 Reorder the terms: 26 + 16 + -6m + -4m = 5m + -1(8m + -5) + -3m + 9 Combine like terms: 26 + 16 = 42 42 + -6m + -4m = 5m + -1(8m + -5) + -3m + 9 Combine like terms: -6m + -4m = -10m 42 + -10m = 5m + -1(8m + -5) + -3m + 9 Reorder the terms: 42 + -10m = 5m + -1(-5 + 8m) + -3m + 9 42 + -10m = 5m + (-5 * -1 + 8m * -1) + -3m + 9 42 + -10m = 5m + (5 + -8m) + -3m + 9 Reorder the terms: 42 + -10m = 5 + 9 + 5m + -8m + -3m Combine like terms: 5 + 9 = 14 42 + -10m = 14 + 5m + -8m + -3m Combine like terms: 5m + -8m = -3m 42 + -10m = 14 + -3m + -3m Combine like terms: -3m + -3m = -6m 42 + -10m = 14 + -6m Solving 42 + -10m = 14 + -6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '6m' to each side of the equation. 42 + -10m + 6m = 14 + -6m + 6m Combine like terms: -10m + 6m = -4m 42 + -4m = 14 + -6m + 6m Combine like terms: -6m + 6m = 0 42 + -4m = 14 + 0 42 + -4m = 14 Add '-42' to each side of the equation. 42 + -42 + -4m = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -4m = 14 + -42 -4m = 14 + -42 Combine like terms: 14 + -42 = -28 -4m = -28 Divide each side by '-4'. m = 7 Simplifying m = 7
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