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Simplifying 5(3n + -3) + -4 = 101 Reorder the terms: 5(-3 + 3n) + -4 = 101 (-3 * 5 + 3n * 5) + -4 = 101 (-15 + 15n) + -4 = 101 Reorder the terms: -15 + -4 + 15n = 101 Combine like terms: -15 + -4 = -19 -19 + 15n = 101 Solving -19 + 15n = 101 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 15n = 101 + 19 Combine like terms: -19 + 19 = 0 0 + 15n = 101 + 19 15n = 101 + 19 Combine like terms: 101 + 19 = 120 15n = 120 Divide each side by '15'. n = 8 Simplifying n = 8
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