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Simplifying -118 = -5(2n + -2) + -6n Reorder the terms: -118 = -5(-2 + 2n) + -6n -118 = (-2 * -5 + 2n * -5) + -6n -118 = (10 + -10n) + -6n Combine like terms: -10n + -6n = -16n -118 = 10 + -16n Solving -118 = 10 + -16n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '16n' to each side of the equation. -118 + 16n = 10 + -16n + 16n Combine like terms: -16n + 16n = 0 -118 + 16n = 10 + 0 -118 + 16n = 10 Add '118' to each side of the equation. -118 + 118 + 16n = 10 + 118 Combine like terms: -118 + 118 = 0 0 + 16n = 10 + 118 16n = 10 + 118 Combine like terms: 10 + 118 = 128 16n = 128 Divide each side by '16'. n = 8 Simplifying n = 8
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