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Simplifying 14 + -1(n + 7) = 3n + 9 + -2n Reorder the terms: 14 + -1(7 + n) = 3n + 9 + -2n 14 + (7 * -1 + n * -1) = 3n + 9 + -2n 14 + (-7 + -1n) = 3n + 9 + -2n Combine like terms: 14 + -7 = 7 7 + -1n = 3n + 9 + -2n Reorder the terms: 7 + -1n = 9 + 3n + -2n Combine like terms: 3n + -2n = 1n 7 + -1n = 9 + 1n Solving 7 + -1n = 9 + 1n 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. 7 + -1n + -1n = 9 + 1n + -1n Combine like terms: -1n + -1n = -2n 7 + -2n = 9 + 1n + -1n Combine like terms: 1n + -1n = 0 7 + -2n = 9 + 0 7 + -2n = 9 Add '-7' to each side of the equation. 7 + -7 + -2n = 9 + -7 Combine like terms: 7 + -7 = 0 0 + -2n = 9 + -7 -2n = 9 + -7 Combine like terms: 9 + -7 = 2 -2n = 2 Divide each side by '-2'. n = -1 Simplifying n = -1
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