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Simplifying 4(2m + 6) = -16 + -2m Reorder the terms: 4(6 + 2m) = -16 + -2m (6 * 4 + 2m * 4) = -16 + -2m (24 + 8m) = -16 + -2m Solving 24 + 8m = -16 + -2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '2m' to each side of the equation. 24 + 8m + 2m = -16 + -2m + 2m Combine like terms: 8m + 2m = 10m 24 + 10m = -16 + -2m + 2m Combine like terms: -2m + 2m = 0 24 + 10m = -16 + 0 24 + 10m = -16 Add '-24' to each side of the equation. 24 + -24 + 10m = -16 + -24 Combine like terms: 24 + -24 = 0 0 + 10m = -16 + -24 10m = -16 + -24 Combine like terms: -16 + -24 = -40 10m = -40 Divide each side by '10'. m = -4 Simplifying m = -4
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