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Simplifying 19 + -1(3m + 8) = 3 + 3m + -16 Reorder the terms: 19 + -1(8 + 3m) = 3 + 3m + -16 19 + (8 * -1 + 3m * -1) = 3 + 3m + -16 19 + (-8 + -3m) = 3 + 3m + -16 Combine like terms: 19 + -8 = 11 11 + -3m = 3 + 3m + -16 Reorder the terms: 11 + -3m = 3 + -16 + 3m Combine like terms: 3 + -16 = -13 11 + -3m = -13 + 3m Solving 11 + -3m = -13 + 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. 11 + -3m + -3m = -13 + 3m + -3m Combine like terms: -3m + -3m = -6m 11 + -6m = -13 + 3m + -3m Combine like terms: 3m + -3m = 0 11 + -6m = -13 + 0 11 + -6m = -13 Add '-11' to each side of the equation. 11 + -11 + -6m = -13 + -11 Combine like terms: 11 + -11 = 0 0 + -6m = -13 + -11 -6m = -13 + -11 Combine like terms: -13 + -11 = -24 -6m = -24 Divide each side by '-6'. m = 4 Simplifying m = 4
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