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Simplifying -4n + 35 = 2(8 + -1n) + 3 Reorder the terms: 35 + -4n = 2(8 + -1n) + 3 35 + -4n = (8 * 2 + -1n * 2) + 3 35 + -4n = (16 + -2n) + 3 Reorder the terms: 35 + -4n = 16 + 3 + -2n Combine like terms: 16 + 3 = 19 35 + -4n = 19 + -2n Solving 35 + -4n = 19 + -2n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '2n' to each side of the equation. 35 + -4n + 2n = 19 + -2n + 2n Combine like terms: -4n + 2n = -2n 35 + -2n = 19 + -2n + 2n Combine like terms: -2n + 2n = 0 35 + -2n = 19 + 0 35 + -2n = 19 Add '-35' to each side of the equation. 35 + -35 + -2n = 19 + -35 Combine like terms: 35 + -35 = 0 0 + -2n = 19 + -35 -2n = 19 + -35 Combine like terms: 19 + -35 = -16 -2n = -16 Divide each side by '-2'. n = 8 Simplifying n = 8
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