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Simplifying 8 + 2(-5 + 9n) = 15 + n 8 + (-5 * 2 + 9n * 2) = 15 + n 8 + (-10 + 18n) = 15 + n Combine like terms: 8 + -10 = -2 -2 + 18n = 15 + n Solving -2 + 18n = 15 + n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-1n' to each side of the equation. -2 + 18n + -1n = 15 + n + -1n Combine like terms: 18n + -1n = 17n -2 + 17n = 15 + n + -1n Combine like terms: n + -1n = 0 -2 + 17n = 15 + 0 -2 + 17n = 15 Add '2' to each side of the equation. -2 + 2 + 17n = 15 + 2 Combine like terms: -2 + 2 = 0 0 + 17n = 15 + 2 17n = 15 + 2 Combine like terms: 15 + 2 = 17 17n = 17 Divide each side by '17'. n = 1 Simplifying n = 1
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