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Simplifying 5(n + 30) = 3[1 + -1(2n)] Reorder the terms: 5(30 + n) = 3[1 + -1(2n)] (30 * 5 + n * 5) = 3[1 + -1(2n)] (150 + 5n) = 3[1 + -1(2n)] Remove parenthesis around (2n) 150 + 5n = 3[1 + -1 * 2n] Multiply -1 * 2 150 + 5n = 3[1 + -2n] 150 + 5n = [1 * 3 + -2n * 3] 150 + 5n = [3 + -6n] Solving 150 + 5n = 3 + -6n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '6n' to each side of the equation. 150 + 5n + 6n = 3 + -6n + 6n Combine like terms: 5n + 6n = 11n 150 + 11n = 3 + -6n + 6n Combine like terms: -6n + 6n = 0 150 + 11n = 3 + 0 150 + 11n = 3 Add '-150' to each side of the equation. 150 + -150 + 11n = 3 + -150 Combine like terms: 150 + -150 = 0 0 + 11n = 3 + -150 11n = 3 + -150 Combine like terms: 3 + -150 = -147 11n = -147 Divide each side by '11'. n = -13.36363636 Simplifying n = -13.36363636
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