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Simplifying 8(4 + -6m) = 4(-5 + m) (4 * 8 + -6m * 8) = 4(-5 + m) (32 + -48m) = 4(-5 + m) 32 + -48m = (-5 * 4 + m * 4) 32 + -48m = (-20 + 4m) Solving 32 + -48m = -20 + 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. 32 + -48m + -4m = -20 + 4m + -4m Combine like terms: -48m + -4m = -52m 32 + -52m = -20 + 4m + -4m Combine like terms: 4m + -4m = 0 32 + -52m = -20 + 0 32 + -52m = -20 Add '-32' to each side of the equation. 32 + -32 + -52m = -20 + -32 Combine like terms: 32 + -32 = 0 0 + -52m = -20 + -32 -52m = -20 + -32 Combine like terms: -20 + -32 = -52 -52m = -52 Divide each side by '-52'. m = 1 Simplifying m = 1
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