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Simplifying 8 + -4(1 + -1m) = 8(m + -2) 8 + (1 * -4 + -1m * -4) = 8(m + -2) 8 + (-4 + 4m) = 8(m + -2) Combine like terms: 8 + -4 = 4 4 + 4m = 8(m + -2) Reorder the terms: 4 + 4m = 8(-2 + m) 4 + 4m = (-2 * 8 + m * 8) 4 + 4m = (-16 + 8m) Solving 4 + 4m = -16 + 8m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-8m' to each side of the equation. 4 + 4m + -8m = -16 + 8m + -8m Combine like terms: 4m + -8m = -4m 4 + -4m = -16 + 8m + -8m Combine like terms: 8m + -8m = 0 4 + -4m = -16 + 0 4 + -4m = -16 Add '-4' to each side of the equation. 4 + -4 + -4m = -16 + -4 Combine like terms: 4 + -4 = 0 0 + -4m = -16 + -4 -4m = -16 + -4 Combine like terms: -16 + -4 = -20 -4m = -20 Divide each side by '-4'. m = 5 Simplifying m = 5
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