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Simplifying -1(3 + 10n) + -4n = -8(11 + 4n) + -5 (3 * -1 + 10n * -1) + -4n = -8(11 + 4n) + -5 (-3 + -10n) + -4n = -8(11 + 4n) + -5 Combine like terms: -10n + -4n = -14n -3 + -14n = -8(11 + 4n) + -5 -3 + -14n = (11 * -8 + 4n * -8) + -5 -3 + -14n = (-88 + -32n) + -5 Reorder the terms: -3 + -14n = -88 + -5 + -32n Combine like terms: -88 + -5 = -93 -3 + -14n = -93 + -32n Solving -3 + -14n = -93 + -32n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '32n' to each side of the equation. -3 + -14n + 32n = -93 + -32n + 32n Combine like terms: -14n + 32n = 18n -3 + 18n = -93 + -32n + 32n Combine like terms: -32n + 32n = 0 -3 + 18n = -93 + 0 -3 + 18n = -93 Add '3' to each side of the equation. -3 + 3 + 18n = -93 + 3 Combine like terms: -3 + 3 = 0 0 + 18n = -93 + 3 18n = -93 + 3 Combine like terms: -93 + 3 = -90 18n = -90 Divide each side by '18'. n = -5 Simplifying n = -5
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