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Simplifying 5(m + -1) + 16(2m + 3) = 3(2m + -7) + -1m Reorder the terms: 5(-1 + m) + 16(2m + 3) = 3(2m + -7) + -1m (-1 * 5 + m * 5) + 16(2m + 3) = 3(2m + -7) + -1m (-5 + 5m) + 16(2m + 3) = 3(2m + -7) + -1m Reorder the terms: -5 + 5m + 16(3 + 2m) = 3(2m + -7) + -1m -5 + 5m + (3 * 16 + 2m * 16) = 3(2m + -7) + -1m -5 + 5m + (48 + 32m) = 3(2m + -7) + -1m Reorder the terms: -5 + 48 + 5m + 32m = 3(2m + -7) + -1m Combine like terms: -5 + 48 = 43 43 + 5m + 32m = 3(2m + -7) + -1m Combine like terms: 5m + 32m = 37m 43 + 37m = 3(2m + -7) + -1m Reorder the terms: 43 + 37m = 3(-7 + 2m) + -1m 43 + 37m = (-7 * 3 + 2m * 3) + -1m 43 + 37m = (-21 + 6m) + -1m Combine like terms: 6m + -1m = 5m 43 + 37m = -21 + 5m Solving 43 + 37m = -21 + 5m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-5m' to each side of the equation. 43 + 37m + -5m = -21 + 5m + -5m Combine like terms: 37m + -5m = 32m 43 + 32m = -21 + 5m + -5m Combine like terms: 5m + -5m = 0 43 + 32m = -21 + 0 43 + 32m = -21 Add '-43' to each side of the equation. 43 + -43 + 32m = -21 + -43 Combine like terms: 43 + -43 = 0 0 + 32m = -21 + -43 32m = -21 + -43 Combine like terms: -21 + -43 = -64 32m = -64 Divide each side by '32'. m = -2 Simplifying m = -2
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