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Simplifying 3(5m + -7) + -2(9m + -11) = 4(8m + -13) + -17 Reorder the terms: 3(-7 + 5m) + -2(9m + -11) = 4(8m + -13) + -17 (-7 * 3 + 5m * 3) + -2(9m + -11) = 4(8m + -13) + -17 (-21 + 15m) + -2(9m + -11) = 4(8m + -13) + -17 Reorder the terms: -21 + 15m + -2(-11 + 9m) = 4(8m + -13) + -17 -21 + 15m + (-11 * -2 + 9m * -2) = 4(8m + -13) + -17 -21 + 15m + (22 + -18m) = 4(8m + -13) + -17 Reorder the terms: -21 + 22 + 15m + -18m = 4(8m + -13) + -17 Combine like terms: -21 + 22 = 1 1 + 15m + -18m = 4(8m + -13) + -17 Combine like terms: 15m + -18m = -3m 1 + -3m = 4(8m + -13) + -17 Reorder the terms: 1 + -3m = 4(-13 + 8m) + -17 1 + -3m = (-13 * 4 + 8m * 4) + -17 1 + -3m = (-52 + 32m) + -17 Reorder the terms: 1 + -3m = -52 + -17 + 32m Combine like terms: -52 + -17 = -69 1 + -3m = -69 + 32m Solving 1 + -3m = -69 + 32m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-32m' to each side of the equation. 1 + -3m + -32m = -69 + 32m + -32m Combine like terms: -3m + -32m = -35m 1 + -35m = -69 + 32m + -32m Combine like terms: 32m + -32m = 0 1 + -35m = -69 + 0 1 + -35m = -69 Add '-1' to each side of the equation. 1 + -1 + -35m = -69 + -1 Combine like terms: 1 + -1 = 0 0 + -35m = -69 + -1 -35m = -69 + -1 Combine like terms: -69 + -1 = -70 -35m = -70 Divide each side by '-35'. m = 2 Simplifying m = 2
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