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Simplifying -4(m + 6) = 3(m + 6) Reorder the terms: -4(6 + m) = 3(m + 6) (6 * -4 + m * -4) = 3(m + 6) (-24 + -4m) = 3(m + 6) Reorder the terms: -24 + -4m = 3(6 + m) -24 + -4m = (6 * 3 + m * 3) -24 + -4m = (18 + 3m) Solving -24 + -4m = 18 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. -24 + -4m + -3m = 18 + 3m + -3m Combine like terms: -4m + -3m = -7m -24 + -7m = 18 + 3m + -3m Combine like terms: 3m + -3m = 0 -24 + -7m = 18 + 0 -24 + -7m = 18 Add '24' to each side of the equation. -24 + 24 + -7m = 18 + 24 Combine like terms: -24 + 24 = 0 0 + -7m = 18 + 24 -7m = 18 + 24 Combine like terms: 18 + 24 = 42 -7m = 42 Divide each side by '-7'. m = -6 Simplifying m = -6
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