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Simplifying 4(3m + -6) = 75 + (m + -8) Reorder the terms: 4(-6 + 3m) = 75 + (m + -8) (-6 * 4 + 3m * 4) = 75 + (m + -8) (-24 + 12m) = 75 + (m + -8) Reorder the terms: -24 + 12m = 75 + (-8 + m) Remove parenthesis around (-8 + m) -24 + 12m = 75 + -8 + m Combine like terms: 75 + -8 = 67 -24 + 12m = 67 + m Solving -24 + 12m = 67 + m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-1m' to each side of the equation. -24 + 12m + -1m = 67 + m + -1m Combine like terms: 12m + -1m = 11m -24 + 11m = 67 + m + -1m Combine like terms: m + -1m = 0 -24 + 11m = 67 + 0 -24 + 11m = 67 Add '24' to each side of the equation. -24 + 24 + 11m = 67 + 24 Combine like terms: -24 + 24 = 0 0 + 11m = 67 + 24 11m = 67 + 24 Combine like terms: 67 + 24 = 91 11m = 91 Divide each side by '11'. m = 8.272727273 Simplifying m = 8.272727273
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