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Simplifying 4(-11m + 12) = -46m + 24 Reorder the terms: 4(12 + -11m) = -46m + 24 (12 * 4 + -11m * 4) = -46m + 24 (48 + -44m) = -46m + 24 Reorder the terms: 48 + -44m = 24 + -46m Solving 48 + -44m = 24 + -46m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '46m' to each side of the equation. 48 + -44m + 46m = 24 + -46m + 46m Combine like terms: -44m + 46m = 2m 48 + 2m = 24 + -46m + 46m Combine like terms: -46m + 46m = 0 48 + 2m = 24 + 0 48 + 2m = 24 Add '-48' to each side of the equation. 48 + -48 + 2m = 24 + -48 Combine like terms: 48 + -48 = 0 0 + 2m = 24 + -48 2m = 24 + -48 Combine like terms: 24 + -48 = -24 2m = -24 Divide each side by '2'. m = -12 Simplifying m = -12
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