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Simplifying 2(m + -3) + -4(m + 6) = 18 Reorder the terms: 2(-3 + m) + -4(m + 6) = 18 (-3 * 2 + m * 2) + -4(m + 6) = 18 (-6 + 2m) + -4(m + 6) = 18 Reorder the terms: -6 + 2m + -4(6 + m) = 18 -6 + 2m + (6 * -4 + m * -4) = 18 -6 + 2m + (-24 + -4m) = 18 Reorder the terms: -6 + -24 + 2m + -4m = 18 Combine like terms: -6 + -24 = -30 -30 + 2m + -4m = 18 Combine like terms: 2m + -4m = -2m -30 + -2m = 18 Solving -30 + -2m = 18 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + -2m = 18 + 30 Combine like terms: -30 + 30 = 0 0 + -2m = 18 + 30 -2m = 18 + 30 Combine like terms: 18 + 30 = 48 -2m = 48 Divide each side by '-2'. m = -24 Simplifying m = -24
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