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Simplifying 3(2m + -2) + -4(m + 2) = 0 Reorder the terms: 3(-2 + 2m) + -4(m + 2) = 0 (-2 * 3 + 2m * 3) + -4(m + 2) = 0 (-6 + 6m) + -4(m + 2) = 0 Reorder the terms: -6 + 6m + -4(2 + m) = 0 -6 + 6m + (2 * -4 + m * -4) = 0 -6 + 6m + (-8 + -4m) = 0 Reorder the terms: -6 + -8 + 6m + -4m = 0 Combine like terms: -6 + -8 = -14 -14 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m -14 + 2m = 0 Solving -14 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '14' to each side of the equation. -14 + 14 + 2m = 0 + 14 Combine like terms: -14 + 14 = 0 0 + 2m = 0 + 14 2m = 0 + 14 Combine like terms: 0 + 14 = 14 2m = 14 Divide each side by '2'. m = 7 Simplifying m = 7
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