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Simplifying -5(3m + -10) + 16(m + -5) = 13 + -9 Reorder the terms: -5(-10 + 3m) + 16(m + -5) = 13 + -9 (-10 * -5 + 3m * -5) + 16(m + -5) = 13 + -9 (50 + -15m) + 16(m + -5) = 13 + -9 Reorder the terms: 50 + -15m + 16(-5 + m) = 13 + -9 50 + -15m + (-5 * 16 + m * 16) = 13 + -9 50 + -15m + (-80 + 16m) = 13 + -9 Reorder the terms: 50 + -80 + -15m + 16m = 13 + -9 Combine like terms: 50 + -80 = -30 -30 + -15m + 16m = 13 + -9 Combine like terms: -15m + 16m = 1m -30 + 1m = 13 + -9 Combine like terms: 13 + -9 = 4 -30 + 1m = 4 Solving -30 + 1m = 4 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '30' to each side of the equation. -30 + 30 + 1m = 4 + 30 Combine like terms: -30 + 30 = 0 0 + 1m = 4 + 30 1m = 4 + 30 Combine like terms: 4 + 30 = 34 1m = 34 Divide each side by '1'. m = 34 Simplifying m = 34
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