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Simplifying 7(n + -2) = -7(-5 + -2n) Reorder the terms: 7(-2 + n) = -7(-5 + -2n) (-2 * 7 + n * 7) = -7(-5 + -2n) (-14 + 7n) = -7(-5 + -2n) -14 + 7n = (-5 * -7 + -2n * -7) -14 + 7n = (35 + 14n) Solving -14 + 7n = 35 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. -14 + 7n + -14n = 35 + 14n + -14n Combine like terms: 7n + -14n = -7n -14 + -7n = 35 + 14n + -14n Combine like terms: 14n + -14n = 0 -14 + -7n = 35 + 0 -14 + -7n = 35 Add '14' to each side of the equation. -14 + 14 + -7n = 35 + 14 Combine like terms: -14 + 14 = 0 0 + -7n = 35 + 14 -7n = 35 + 14 Combine like terms: 35 + 14 = 49 -7n = 49 Divide each side by '-7'. n = -7 Simplifying n = -7
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