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Simplifying -5(3m + -6) + 16(m + -5) = 14 + -6 Reorder the terms: -5(-6 + 3m) + 16(m + -5) = 14 + -6 (-6 * -5 + 3m * -5) + 16(m + -5) = 14 + -6 (30 + -15m) + 16(m + -5) = 14 + -6 Reorder the terms: 30 + -15m + 16(-5 + m) = 14 + -6 30 + -15m + (-5 * 16 + m * 16) = 14 + -6 30 + -15m + (-80 + 16m) = 14 + -6 Reorder the terms: 30 + -80 + -15m + 16m = 14 + -6 Combine like terms: 30 + -80 = -50 -50 + -15m + 16m = 14 + -6 Combine like terms: -15m + 16m = 1m -50 + 1m = 14 + -6 Combine like terms: 14 + -6 = 8 -50 + 1m = 8 Solving -50 + 1m = 8 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '50' to each side of the equation. -50 + 50 + 1m = 8 + 50 Combine like terms: -50 + 50 = 0 0 + 1m = 8 + 50 1m = 8 + 50 Combine like terms: 8 + 50 = 58 1m = 58 Divide each side by '1'. m = 58 Simplifying m = 58
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