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Simplifying 1 + -8(m + -5) = -7 + 4m Reorder the terms: 1 + -8(-5 + m) = -7 + 4m 1 + (-5 * -8 + m * -8) = -7 + 4m 1 + (40 + -8m) = -7 + 4m Combine like terms: 1 + 40 = 41 41 + -8m = -7 + 4m Solving 41 + -8m = -7 + 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. 41 + -8m + -4m = -7 + 4m + -4m Combine like terms: -8m + -4m = -12m 41 + -12m = -7 + 4m + -4m Combine like terms: 4m + -4m = 0 41 + -12m = -7 + 0 41 + -12m = -7 Add '-41' to each side of the equation. 41 + -41 + -12m = -7 + -41 Combine like terms: 41 + -41 = 0 0 + -12m = -7 + -41 -12m = -7 + -41 Combine like terms: -7 + -41 = -48 -12m = -48 Divide each side by '-12'. m = 4 Simplifying m = 4
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