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Simplifying -6m + -1(4 + -4m) = 8(m + -3) -6m + (4 * -1 + -4m * -1) = 8(m + -3) -6m + (-4 + 4m) = 8(m + -3) Reorder the terms: -4 + -6m + 4m = 8(m + -3) Combine like terms: -6m + 4m = -2m -4 + -2m = 8(m + -3) Reorder the terms: -4 + -2m = 8(-3 + m) -4 + -2m = (-3 * 8 + m * 8) -4 + -2m = (-24 + 8m) Solving -4 + -2m = -24 + 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 + -2m + -8m = -24 + 8m + -8m Combine like terms: -2m + -8m = -10m -4 + -10m = -24 + 8m + -8m Combine like terms: 8m + -8m = 0 -4 + -10m = -24 + 0 -4 + -10m = -24 Add '4' to each side of the equation. -4 + 4 + -10m = -24 + 4 Combine like terms: -4 + 4 = 0 0 + -10m = -24 + 4 -10m = -24 + 4 Combine like terms: -24 + 4 = -20 -10m = -20 Divide each side by '-10'. m = 2 Simplifying m = 2
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