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Simplifying 9(-2m + 5) + 8 = 3m + 4 Reorder the terms: 9(5 + -2m) + 8 = 3m + 4 (5 * 9 + -2m * 9) + 8 = 3m + 4 (45 + -18m) + 8 = 3m + 4 Reorder the terms: 45 + 8 + -18m = 3m + 4 Combine like terms: 45 + 8 = 53 53 + -18m = 3m + 4 Reorder the terms: 53 + -18m = 4 + 3m Solving 53 + -18m = 4 + 3m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-3m' to each side of the equation. 53 + -18m + -3m = 4 + 3m + -3m Combine like terms: -18m + -3m = -21m 53 + -21m = 4 + 3m + -3m Combine like terms: 3m + -3m = 0 53 + -21m = 4 + 0 53 + -21m = 4 Add '-53' to each side of the equation. 53 + -53 + -21m = 4 + -53 Combine like terms: 53 + -53 = 0 0 + -21m = 4 + -53 -21m = 4 + -53 Combine like terms: 4 + -53 = -49 -21m = -49 Divide each side by '-21'. m = 2.333333333 Simplifying m = 2.333333333
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