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Simplifying 7(m + 2) + -5(-2m + -9) = 16(m + 5) + -3 Reorder the terms: 7(2 + m) + -5(-2m + -9) = 16(m + 5) + -3 (2 * 7 + m * 7) + -5(-2m + -9) = 16(m + 5) + -3 (14 + 7m) + -5(-2m + -9) = 16(m + 5) + -3 Reorder the terms: 14 + 7m + -5(-9 + -2m) = 16(m + 5) + -3 14 + 7m + (-9 * -5 + -2m * -5) = 16(m + 5) + -3 14 + 7m + (45 + 10m) = 16(m + 5) + -3 Reorder the terms: 14 + 45 + 7m + 10m = 16(m + 5) + -3 Combine like terms: 14 + 45 = 59 59 + 7m + 10m = 16(m + 5) + -3 Combine like terms: 7m + 10m = 17m 59 + 17m = 16(m + 5) + -3 Reorder the terms: 59 + 17m = 16(5 + m) + -3 59 + 17m = (5 * 16 + m * 16) + -3 59 + 17m = (80 + 16m) + -3 Reorder the terms: 59 + 17m = 80 + -3 + 16m Combine like terms: 80 + -3 = 77 59 + 17m = 77 + 16m Solving 59 + 17m = 77 + 16m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-16m' to each side of the equation. 59 + 17m + -16m = 77 + 16m + -16m Combine like terms: 17m + -16m = 1m 59 + 1m = 77 + 16m + -16m Combine like terms: 16m + -16m = 0 59 + 1m = 77 + 0 59 + 1m = 77 Add '-59' to each side of the equation. 59 + -59 + 1m = 77 + -59 Combine like terms: 59 + -59 = 0 0 + 1m = 77 + -59 1m = 77 + -59 Combine like terms: 77 + -59 = 18 1m = 18 Divide each side by '1'. m = 18 Simplifying m = 18
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