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Simplifying 3m + 7 + 3(3m + -4) + -4(m + 4) = 0 Reorder the terms: 3m + 7 + 3(-4 + 3m) + -4(m + 4) = 0 3m + 7 + (-4 * 3 + 3m * 3) + -4(m + 4) = 0 3m + 7 + (-12 + 9m) + -4(m + 4) = 0 Reorder the terms: 3m + 7 + -12 + 9m + -4(4 + m) = 0 3m + 7 + -12 + 9m + (4 * -4 + m * -4) = 0 3m + 7 + -12 + 9m + (-16 + -4m) = 0 Reorder the terms: 7 + -12 + -16 + 3m + 9m + -4m = 0 Combine like terms: 7 + -12 = -5 -5 + -16 + 3m + 9m + -4m = 0 Combine like terms: -5 + -16 = -21 -21 + 3m + 9m + -4m = 0 Combine like terms: 3m + 9m = 12m -21 + 12m + -4m = 0 Combine like terms: 12m + -4m = 8m -21 + 8m = 0 Solving -21 + 8m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 21 + 8m = 0 + 21 Combine like terms: -21 + 21 = 0 0 + 8m = 0 + 21 8m = 0 + 21 Combine like terms: 0 + 21 = 21 8m = 21 Divide each side by '8'. m = 2.625 Simplifying m = 2.625
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