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Simplifying 16 + -1(3m + 7) = 3 + 2m + -19 Reorder the terms: 16 + -1(7 + 3m) = 3 + 2m + -19 16 + (7 * -1 + 3m * -1) = 3 + 2m + -19 16 + (-7 + -3m) = 3 + 2m + -19 Combine like terms: 16 + -7 = 9 9 + -3m = 3 + 2m + -19 Reorder the terms: 9 + -3m = 3 + -19 + 2m Combine like terms: 3 + -19 = -16 9 + -3m = -16 + 2m Solving 9 + -3m = -16 + 2m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-2m' to each side of the equation. 9 + -3m + -2m = -16 + 2m + -2m Combine like terms: -3m + -2m = -5m 9 + -5m = -16 + 2m + -2m Combine like terms: 2m + -2m = 0 9 + -5m = -16 + 0 9 + -5m = -16 Add '-9' to each side of the equation. 9 + -9 + -5m = -16 + -9 Combine like terms: 9 + -9 = 0 0 + -5m = -16 + -9 -5m = -16 + -9 Combine like terms: -16 + -9 = -25 -5m = -25 Divide each side by '-5'. m = 5 Simplifying m = 5
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