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Simplifying 4(m + 2) = -4(m + 2) Reorder the terms: 4(2 + m) = -4(m + 2) (2 * 4 + m * 4) = -4(m + 2) (8 + 4m) = -4(m + 2) Reorder the terms: 8 + 4m = -4(2 + m) 8 + 4m = (2 * -4 + m * -4) 8 + 4m = (-8 + -4m) Solving 8 + 4m = -8 + -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. 8 + 4m + 4m = -8 + -4m + 4m Combine like terms: 4m + 4m = 8m 8 + 8m = -8 + -4m + 4m Combine like terms: -4m + 4m = 0 8 + 8m = -8 + 0 8 + 8m = -8 Add '-8' to each side of the equation. 8 + -8 + 8m = -8 + -8 Combine like terms: 8 + -8 = 0 0 + 8m = -8 + -8 8m = -8 + -8 Combine like terms: -8 + -8 = -16 8m = -16 Divide each side by '8'. m = -2 Simplifying m = -2
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