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Simplifying 9 + -1n = -5(1 + 3n) 9 + -1n = (1 * -5 + 3n * -5) 9 + -1n = (-5 + -15n) Solving 9 + -1n = -5 + -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. 9 + -1n + 15n = -5 + -15n + 15n Combine like terms: -1n + 15n = 14n 9 + 14n = -5 + -15n + 15n Combine like terms: -15n + 15n = 0 9 + 14n = -5 + 0 9 + 14n = -5 Add '-9' to each side of the equation. 9 + -9 + 14n = -5 + -9 Combine like terms: 9 + -9 = 0 0 + 14n = -5 + -9 14n = -5 + -9 Combine like terms: -5 + -9 = -14 14n = -14 Divide each side by '14'. n = -1 Simplifying n = -1
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