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Simplifying 3n + 4 = -1(-1n + -18) Reorder the terms: 4 + 3n = -1(-1n + -18) Reorder the terms: 4 + 3n = -1(-18 + -1n) 4 + 3n = (-18 * -1 + -1n * -1) 4 + 3n = (18 + 1n) Solving 4 + 3n = 18 + 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. 4 + 3n + -1n = 18 + 1n + -1n Combine like terms: 3n + -1n = 2n 4 + 2n = 18 + 1n + -1n Combine like terms: 1n + -1n = 0 4 + 2n = 18 + 0 4 + 2n = 18 Add '-4' to each side of the equation. 4 + -4 + 2n = 18 + -4 Combine like terms: 4 + -4 = 0 0 + 2n = 18 + -4 2n = 18 + -4 Combine like terms: 18 + -4 = 14 2n = 14 Divide each side by '2'. n = 7 Simplifying n = 7
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