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Simplifying -3(7 + -3m) + 5m = 19m + -11 (7 * -3 + -3m * -3) + 5m = 19m + -11 (-21 + 9m) + 5m = 19m + -11 Combine like terms: 9m + 5m = 14m -21 + 14m = 19m + -11 Reorder the terms: -21 + 14m = -11 + 19m Solving -21 + 14m = -11 + 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. -21 + 14m + -19m = -11 + 19m + -19m Combine like terms: 14m + -19m = -5m -21 + -5m = -11 + 19m + -19m Combine like terms: 19m + -19m = 0 -21 + -5m = -11 + 0 -21 + -5m = -11 Add '21' to each side of the equation. -21 + 21 + -5m = -11 + 21 Combine like terms: -21 + 21 = 0 0 + -5m = -11 + 21 -5m = -11 + 21 Combine like terms: -11 + 21 = 10 -5m = 10 Divide each side by '-5'. m = -2 Simplifying m = -2
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