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Simplifying -18 = -1(n + -7) + -8(2n + 1) Reorder the terms: -18 = -1(-7 + n) + -8(2n + 1) -18 = (-7 * -1 + n * -1) + -8(2n + 1) -18 = (7 + -1n) + -8(2n + 1) Reorder the terms: -18 = 7 + -1n + -8(1 + 2n) -18 = 7 + -1n + (1 * -8 + 2n * -8) -18 = 7 + -1n + (-8 + -16n) Reorder the terms: -18 = 7 + -8 + -1n + -16n Combine like terms: 7 + -8 = -1 -18 = -1 + -1n + -16n Combine like terms: -1n + -16n = -17n -18 = -1 + -17n Solving -18 = -1 + -17n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '17n' to each side of the equation. -18 + 17n = -1 + -17n + 17n Combine like terms: -17n + 17n = 0 -18 + 17n = -1 + 0 -18 + 17n = -1 Add '18' to each side of the equation. -18 + 18 + 17n = -1 + 18 Combine like terms: -18 + 18 = 0 0 + 17n = -1 + 18 17n = -1 + 18 Combine like terms: -1 + 18 = 17 17n = 17 Divide each side by '17'. n = 1 Simplifying n = 1
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