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Simplifying 4 + 2m = -6(4m + 8) Reorder the terms: 4 + 2m = -6(8 + 4m) 4 + 2m = (8 * -6 + 4m * -6) 4 + 2m = (-48 + -24m) Solving 4 + 2m = -48 + -24m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '24m' to each side of the equation. 4 + 2m + 24m = -48 + -24m + 24m Combine like terms: 2m + 24m = 26m 4 + 26m = -48 + -24m + 24m Combine like terms: -24m + 24m = 0 4 + 26m = -48 + 0 4 + 26m = -48 Add '-4' to each side of the equation. 4 + -4 + 26m = -48 + -4 Combine like terms: 4 + -4 = 0 0 + 26m = -48 + -4 26m = -48 + -4 Combine like terms: -48 + -4 = -52 26m = -52 Divide each side by '26'. m = -2 Simplifying m = -2
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