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Simplifying 3(m + -5) + 4(m + 2) = 0 Reorder the terms: 3(-5 + m) + 4(m + 2) = 0 (-5 * 3 + m * 3) + 4(m + 2) = 0 (-15 + 3m) + 4(m + 2) = 0 Reorder the terms: -15 + 3m + 4(2 + m) = 0 -15 + 3m + (2 * 4 + m * 4) = 0 -15 + 3m + (8 + 4m) = 0 Reorder the terms: -15 + 8 + 3m + 4m = 0 Combine like terms: -15 + 8 = -7 -7 + 3m + 4m = 0 Combine like terms: 3m + 4m = 7m -7 + 7m = 0 Solving -7 + 7m = 0 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 7m = 0 + 7 Combine like terms: -7 + 7 = 0 0 + 7m = 0 + 7 7m = 0 + 7 Combine like terms: 0 + 7 = 7 7m = 7 Divide each side by '7'. m = 1 Simplifying m = 1
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