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Simplifying -7(5 + 13n) = 14(1 + -6n) (5 * -7 + 13n * -7) = 14(1 + -6n) (-35 + -91n) = 14(1 + -6n) -35 + -91n = (1 * 14 + -6n * 14) -35 + -91n = (14 + -84n) Solving -35 + -91n = 14 + -84n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '84n' to each side of the equation. -35 + -91n + 84n = 14 + -84n + 84n Combine like terms: -91n + 84n = -7n -35 + -7n = 14 + -84n + 84n Combine like terms: -84n + 84n = 0 -35 + -7n = 14 + 0 -35 + -7n = 14 Add '35' to each side of the equation. -35 + 35 + -7n = 14 + 35 Combine like terms: -35 + 35 = 0 0 + -7n = 14 + 35 -7n = 14 + 35 Combine like terms: 14 + 35 = 49 -7n = 49 Divide each side by '-7'. n = -7 Simplifying n = -7
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