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Simplifying 17 + -4n = -7(1 + -2n) + 6 17 + -4n = (1 * -7 + -2n * -7) + 6 17 + -4n = (-7 + 14n) + 6 Reorder the terms: 17 + -4n = -7 + 6 + 14n Combine like terms: -7 + 6 = -1 17 + -4n = -1 + 14n Solving 17 + -4n = -1 + 14n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-14n' to each side of the equation. 17 + -4n + -14n = -1 + 14n + -14n Combine like terms: -4n + -14n = -18n 17 + -18n = -1 + 14n + -14n Combine like terms: 14n + -14n = 0 17 + -18n = -1 + 0 17 + -18n = -1 Add '-17' to each side of the equation. 17 + -17 + -18n = -1 + -17 Combine like terms: 17 + -17 = 0 0 + -18n = -1 + -17 -18n = -1 + -17 Combine like terms: -1 + -17 = -18 -18n = -18 Divide each side by '-18'. n = 1 Simplifying n = 1
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