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Simplifying -2(3m + -2) + 4m = 8(m + 3) Reorder the terms: -2(-2 + 3m) + 4m = 8(m + 3) (-2 * -2 + 3m * -2) + 4m = 8(m + 3) (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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