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Simplifying 3(2m + -3) + -4(m + 4) = 0 Reorder the terms: 3(-3 + 2m) + -4(m + 4) = 0 (-3 * 3 + 2m * 3) + -4(m + 4) = 0 (-9 + 6m) + -4(m + 4) = 0 Reorder the terms: -9 + 6m + -4(4 + m) = 0 -9 + 6m + (4 * -4 + m * -4) = 0 -9 + 6m + (-16 + -4m) = 0 Reorder the terms: -9 + -16 + 6m + -4m = 0 Combine like terms: -9 + -16 = -25 -25 + 6m + -4m = 0 Combine like terms: 6m + -4m = 2m -25 + 2m = 0 Solving -25 + 2m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '25' to each side of the equation. -25 + 25 + 2m = 0 + 25 Combine like terms: -25 + 25 = 0 0 + 2m = 0 + 25 2m = 0 + 25 Combine like terms: 0 + 25 = 25 2m = 25 Divide each side by '2'. m = 12.5 Simplifying m = 12.5
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