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Simplifying 8m + -11 + 7 + 9m = 5(11 + 3m) Reorder the terms: -11 + 7 + 8m + 9m = 5(11 + 3m) Combine like terms: -11 + 7 = -4 -4 + 8m + 9m = 5(11 + 3m) Combine like terms: 8m + 9m = 17m -4 + 17m = 5(11 + 3m) -4 + 17m = (11 * 5 + 3m * 5) -4 + 17m = (55 + 15m) Solving -4 + 17m = 55 + 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. -4 + 17m + -15m = 55 + 15m + -15m Combine like terms: 17m + -15m = 2m -4 + 2m = 55 + 15m + -15m Combine like terms: 15m + -15m = 0 -4 + 2m = 55 + 0 -4 + 2m = 55 Add '4' to each side of the equation. -4 + 4 + 2m = 55 + 4 Combine like terms: -4 + 4 = 0 0 + 2m = 55 + 4 2m = 55 + 4 Combine like terms: 55 + 4 = 59 2m = 59 Divide each side by '2'. m = 29.5 Simplifying m = 29.5
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