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Simplifying 4(m + -6) = 6(m + 2) Reorder the terms: 4(-6 + m) = 6(m + 2) (-6 * 4 + m * 4) = 6(m + 2) (-24 + 4m) = 6(m + 2) Reorder the terms: -24 + 4m = 6(2 + m) -24 + 4m = (2 * 6 + m * 6) -24 + 4m = (12 + 6m) Solving -24 + 4m = 12 + 6m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-6m' to each side of the equation. -24 + 4m + -6m = 12 + 6m + -6m Combine like terms: 4m + -6m = -2m -24 + -2m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 -24 + -2m = 12 + 0 -24 + -2m = 12 Add '24' to each side of the equation. -24 + 24 + -2m = 12 + 24 Combine like terms: -24 + 24 = 0 0 + -2m = 12 + 24 -2m = 12 + 24 Combine like terms: 12 + 24 = 36 -2m = 36 Divide each side by '-2'. m = -18 Simplifying m = -18
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