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Simplifying -5(3m + 2) + 4(7m + -8) = -16 Reorder the terms: -5(2 + 3m) + 4(7m + -8) = -16 (2 * -5 + 3m * -5) + 4(7m + -8) = -16 (-10 + -15m) + 4(7m + -8) = -16 Reorder the terms: -10 + -15m + 4(-8 + 7m) = -16 -10 + -15m + (-8 * 4 + 7m * 4) = -16 -10 + -15m + (-32 + 28m) = -16 Reorder the terms: -10 + -32 + -15m + 28m = -16 Combine like terms: -10 + -32 = -42 -42 + -15m + 28m = -16 Combine like terms: -15m + 28m = 13m -42 + 13m = -16 Solving -42 + 13m = -16 Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + 13m = -16 + 42 Combine like terms: -42 + 42 = 0 0 + 13m = -16 + 42 13m = -16 + 42 Combine like terms: -16 + 42 = 26 13m = 26 Divide each side by '13'. m = 2 Simplifying m = 2
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