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Simplifying -77 = 3(-4 + -5n) + -5 -77 = (-4 * 3 + -5n * 3) + -5 -77 = (-12 + -15n) + -5 Reorder the terms: -77 = -12 + -5 + -15n Combine like terms: -12 + -5 = -17 -77 = -17 + -15n Solving -77 = -17 + -15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '15n' to each side of the equation. -77 + 15n = -17 + -15n + 15n Combine like terms: -15n + 15n = 0 -77 + 15n = -17 + 0 -77 + 15n = -17 Add '77' to each side of the equation. -77 + 77 + 15n = -17 + 77 Combine like terms: -77 + 77 = 0 0 + 15n = -17 + 77 15n = -17 + 77 Combine like terms: -17 + 77 = 60 15n = 60 Divide each side by '15'. n = 4 Simplifying n = 4
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