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Simplifying -15 + -1n = 8(1 + -3n) -15 + -1n = (1 * 8 + -3n * 8) -15 + -1n = (8 + -24n) Solving -15 + -1n = 8 + -24n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '24n' to each side of the equation. -15 + -1n + 24n = 8 + -24n + 24n Combine like terms: -1n + 24n = 23n -15 + 23n = 8 + -24n + 24n Combine like terms: -24n + 24n = 0 -15 + 23n = 8 + 0 -15 + 23n = 8 Add '15' to each side of the equation. -15 + 15 + 23n = 8 + 15 Combine like terms: -15 + 15 = 0 0 + 23n = 8 + 15 23n = 8 + 15 Combine like terms: 8 + 15 = 23 23n = 23 Divide each side by '23'. n = 1 Simplifying n = 1
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