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Simplifying 2(2m + -3) = 6m + 12 Reorder the terms: 2(-3 + 2m) = 6m + 12 (-3 * 2 + 2m * 2) = 6m + 12 (-6 + 4m) = 6m + 12 Reorder the terms: -6 + 4m = 12 + 6m Solving -6 + 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. -6 + 4m + -6m = 12 + 6m + -6m Combine like terms: 4m + -6m = -2m -6 + -2m = 12 + 6m + -6m Combine like terms: 6m + -6m = 0 -6 + -2m = 12 + 0 -6 + -2m = 12 Add '6' to each side of the equation. -6 + 6 + -2m = 12 + 6 Combine like terms: -6 + 6 = 0 0 + -2m = 12 + 6 -2m = 12 + 6 Combine like terms: 12 + 6 = 18 -2m = 18 Divide each side by '-2'. m = -9 Simplifying m = -9
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