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Simplifying 4(m + -6) = 2 + 2(m + -3) Reorder the terms: 4(-6 + m) = 2 + 2(m + -3) (-6 * 4 + m * 4) = 2 + 2(m + -3) (-24 + 4m) = 2 + 2(m + -3) Reorder the terms: -24 + 4m = 2 + 2(-3 + m) -24 + 4m = 2 + (-3 * 2 + m * 2) -24 + 4m = 2 + (-6 + 2m) Combine like terms: 2 + -6 = -4 -24 + 4m = -4 + 2m Solving -24 + 4m = -4 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. -24 + 4m + -2m = -4 + 2m + -2m Combine like terms: 4m + -2m = 2m -24 + 2m = -4 + 2m + -2m Combine like terms: 2m + -2m = 0 -24 + 2m = -4 + 0 -24 + 2m = -4 Add '24' to each side of the equation. -24 + 24 + 2m = -4 + 24 Combine like terms: -24 + 24 = 0 0 + 2m = -4 + 24 2m = -4 + 24 Combine like terms: -4 + 24 = 20 2m = 20 Divide each side by '2'. m = 10 Simplifying m = 10
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