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Simplifying -3(1 + 6n) = 14 + -1n (1 * -3 + 6n * -3) = 14 + -1n (-3 + -18n) = 14 + -1n Solving -3 + -18n = 14 + -1n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add 'n' to each side of the equation. -3 + -18n + n = 14 + -1n + n Combine like terms: -18n + n = -17n -3 + -17n = 14 + -1n + n Combine like terms: -1n + n = 0 -3 + -17n = 14 + 0 -3 + -17n = 14 Add '3' to each side of the equation. -3 + 3 + -17n = 14 + 3 Combine like terms: -3 + 3 = 0 0 + -17n = 14 + 3 -17n = 14 + 3 Combine like terms: 14 + 3 = 17 -17n = 17 Divide each side by '-17'. n = -1 Simplifying n = -1
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