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Simplifying 7(2n + -2) + -5m = 9m + -14 Reorder the terms: 7(-2 + 2n) + -5m = 9m + -14 (-2 * 7 + 2n * 7) + -5m = 9m + -14 (-14 + 14n) + -5m = 9m + -14 Reorder the terms: -14 + -5m + 14n = 9m + -14 Reorder the terms: -14 + -5m + 14n = -14 + 9m Add '14' to each side of the equation. -14 + -5m + 14 + 14n = -14 + 14 + 9m Reorder the terms: -14 + 14 + -5m + 14n = -14 + 14 + 9m Combine like terms: -14 + 14 = 0 0 + -5m + 14n = -14 + 14 + 9m -5m + 14n = -14 + 14 + 9m Combine like terms: -14 + 14 = 0 -5m + 14n = 0 + 9m -5m + 14n = 9m Solving -5m + 14n = 9m Solving for variable 'm'. Move all terms containing m to the left, all other terms to the right. Add '-9m' to each side of the equation. -5m + -9m + 14n = 9m + -9m Combine like terms: -5m + -9m = -14m -14m + 14n = 9m + -9m Combine like terms: 9m + -9m = 0 -14m + 14n = 0 Add '-14n' to each side of the equation. -14m + 14n + -14n = 0 + -14n Combine like terms: 14n + -14n = 0 -14m + 0 = 0 + -14n -14m = 0 + -14n Remove the zero: -14m = -14n Divide each side by '-14'. m = n Simplifying m = n
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