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Simplifying -8(m + -5) = 3(-5m + 11) Reorder the terms: -8(-5 + m) = 3(-5m + 11) (-5 * -8 + m * -8) = 3(-5m + 11) (40 + -8m) = 3(-5m + 11) Reorder the terms: 40 + -8m = 3(11 + -5m) 40 + -8m = (11 * 3 + -5m * 3) 40 + -8m = (33 + -15m) Solving 40 + -8m = 33 + -15m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '15m' to each side of the equation. 40 + -8m + 15m = 33 + -15m + 15m Combine like terms: -8m + 15m = 7m 40 + 7m = 33 + -15m + 15m Combine like terms: -15m + 15m = 0 40 + 7m = 33 + 0 40 + 7m = 33 Add '-40' to each side of the equation. 40 + -40 + 7m = 33 + -40 Combine like terms: 40 + -40 = 0 0 + 7m = 33 + -40 7m = 33 + -40 Combine like terms: 33 + -40 = -7 7m = -7 Divide each side by '7'. m = -1 Simplifying m = -1
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