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Simplifying 7(n + -11) = -7(-2n + 8) Reorder the terms: 7(-11 + n) = -7(-2n + 8) (-11 * 7 + n * 7) = -7(-2n + 8) (-77 + 7n) = -7(-2n + 8) Reorder the terms: -77 + 7n = -7(8 + -2n) -77 + 7n = (8 * -7 + -2n * -7) -77 + 7n = (-56 + 14n) Solving -77 + 7n = -56 + 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. -77 + 7n + -14n = -56 + 14n + -14n Combine like terms: 7n + -14n = -7n -77 + -7n = -56 + 14n + -14n Combine like terms: 14n + -14n = 0 -77 + -7n = -56 + 0 -77 + -7n = -56 Add '77' to each side of the equation. -77 + 77 + -7n = -56 + 77 Combine like terms: -77 + 77 = 0 0 + -7n = -56 + 77 -7n = -56 + 77 Combine like terms: -56 + 77 = 21 -7n = 21 Divide each side by '-7'. n = -3 Simplifying n = -3
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