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Simplifying -4m + 43 + -8(m + -2) = 8m + -1(6m + -5) + -2m + 6 Reorder the terms: -4m + 43 + -8(-2 + m) = 8m + -1(6m + -5) + -2m + 6 -4m + 43 + (-2 * -8 + m * -8) = 8m + -1(6m + -5) + -2m + 6 -4m + 43 + (16 + -8m) = 8m + -1(6m + -5) + -2m + 6 Reorder the terms: 43 + 16 + -4m + -8m = 8m + -1(6m + -5) + -2m + 6 Combine like terms: 43 + 16 = 59 59 + -4m + -8m = 8m + -1(6m + -5) + -2m + 6 Combine like terms: -4m + -8m = -12m 59 + -12m = 8m + -1(6m + -5) + -2m + 6 Reorder the terms: 59 + -12m = 8m + -1(-5 + 6m) + -2m + 6 59 + -12m = 8m + (-5 * -1 + 6m * -1) + -2m + 6 59 + -12m = 8m + (5 + -6m) + -2m + 6 Reorder the terms: 59 + -12m = 5 + 6 + 8m + -6m + -2m Combine like terms: 5 + 6 = 11 59 + -12m = 11 + 8m + -6m + -2m Combine like terms: 8m + -6m = 2m 59 + -12m = 11 + 2m + -2m Combine like terms: 2m + -2m = 0 59 + -12m = 11 + 0 59 + -12m = 11 Solving 59 + -12m = 11 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-59' to each side of the equation. 59 + -59 + -12m = 11 + -59 Combine like terms: 59 + -59 = 0 0 + -12m = 11 + -59 -12m = 11 + -59 Combine like terms: 11 + -59 = -48 -12m = -48 Divide each side by '-12'. m = 4 Simplifying m = 4
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