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Simplifying 4(m + -3) = 6(m + 6) Reorder the terms: 4(-3 + m) = 6(m + 6) (-3 * 4 + m * 4) = 6(m + 6) (-12 + 4m) = 6(m + 6) Reorder the terms: -12 + 4m = 6(6 + m) -12 + 4m = (6 * 6 + m * 6) -12 + 4m = (36 + 6m) Solving -12 + 4m = 36 + 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. -12 + 4m + -6m = 36 + 6m + -6m Combine like terms: 4m + -6m = -2m -12 + -2m = 36 + 6m + -6m Combine like terms: 6m + -6m = 0 -12 + -2m = 36 + 0 -12 + -2m = 36 Add '12' to each side of the equation. -12 + 12 + -2m = 36 + 12 Combine like terms: -12 + 12 = 0 0 + -2m = 36 + 12 -2m = 36 + 12 Combine like terms: 36 + 12 = 48 -2m = 48 Divide each side by '-2'. m = -24 Simplifying m = -24
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