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Simplifying -9(-3m + -17) = 17 + 19m Reorder the terms: -9(-17 + -3m) = 17 + 19m (-17 * -9 + -3m * -9) = 17 + 19m (153 + 27m) = 17 + 19m Solving 153 + 27m = 17 + 19m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-19m' to each side of the equation. 153 + 27m + -19m = 17 + 19m + -19m Combine like terms: 27m + -19m = 8m 153 + 8m = 17 + 19m + -19m Combine like terms: 19m + -19m = 0 153 + 8m = 17 + 0 153 + 8m = 17 Add '-153' to each side of the equation. 153 + -153 + 8m = 17 + -153 Combine like terms: 153 + -153 = 0 0 + 8m = 17 + -153 8m = 17 + -153 Combine like terms: 17 + -153 = -136 8m = -136 Divide each side by '8'. m = -17 Simplifying m = -17
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