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Simplifying -5(3n + 7) + 8 = -87 Reorder the terms: -5(7 + 3n) + 8 = -87 (7 * -5 + 3n * -5) + 8 = -87 (-35 + -15n) + 8 = -87 Reorder the terms: -35 + 8 + -15n = -87 Combine like terms: -35 + 8 = -27 -27 + -15n = -87 Solving -27 + -15n = -87 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '27' to each side of the equation. -27 + 27 + -15n = -87 + 27 Combine like terms: -27 + 27 = 0 0 + -15n = -87 + 27 -15n = -87 + 27 Combine like terms: -87 + 27 = -60 -15n = -60 Divide each side by '-15'. n = 4 Simplifying n = 4
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