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Simplifying 5(-2n + 11) = -7(n + -4) Reorder the terms: 5(11 + -2n) = -7(n + -4) (11 * 5 + -2n * 5) = -7(n + -4) (55 + -10n) = -7(n + -4) Reorder the terms: 55 + -10n = -7(-4 + n) 55 + -10n = (-4 * -7 + n * -7) 55 + -10n = (28 + -7n) Solving 55 + -10n = 28 + -7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '7n' to each side of the equation. 55 + -10n + 7n = 28 + -7n + 7n Combine like terms: -10n + 7n = -3n 55 + -3n = 28 + -7n + 7n Combine like terms: -7n + 7n = 0 55 + -3n = 28 + 0 55 + -3n = 28 Add '-55' to each side of the equation. 55 + -55 + -3n = 28 + -55 Combine like terms: 55 + -55 = 0 0 + -3n = 28 + -55 -3n = 28 + -55 Combine like terms: 28 + -55 = -27 -3n = -27 Divide each side by '-3'. n = 9 Simplifying n = 9
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