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Simplifying -5(3n + -8) + 2 = 147 Reorder the terms: -5(-8 + 3n) + 2 = 147 (-8 * -5 + 3n * -5) + 2 = 147 (40 + -15n) + 2 = 147 Reorder the terms: 40 + 2 + -15n = 147 Combine like terms: 40 + 2 = 42 42 + -15n = 147 Solving 42 + -15n = 147 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-42' to each side of the equation. 42 + -42 + -15n = 147 + -42 Combine like terms: 42 + -42 = 0 0 + -15n = 147 + -42 -15n = 147 + -42 Combine like terms: 147 + -42 = 105 -15n = 105 Divide each side by '-15'. n = -7 Simplifying n = -7
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