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Simplifying 35 + -5n = 2(n + -5) + -4 Reorder the terms: 35 + -5n = 2(-5 + n) + -4 35 + -5n = (-5 * 2 + n * 2) + -4 35 + -5n = (-10 + 2n) + -4 Reorder the terms: 35 + -5n = -10 + -4 + 2n Combine like terms: -10 + -4 = -14 35 + -5n = -14 + 2n Solving 35 + -5n = -14 + 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 + -5n + -2n = -14 + 2n + -2n Combine like terms: -5n + -2n = -7n 35 + -7n = -14 + 2n + -2n Combine like terms: 2n + -2n = 0 35 + -7n = -14 + 0 35 + -7n = -14 Add '-35' to each side of the equation. 35 + -35 + -7n = -14 + -35 Combine like terms: 35 + -35 = 0 0 + -7n = -14 + -35 -7n = -14 + -35 Combine like terms: -14 + -35 = -49 -7n = -49 Divide each side by '-7'. n = 7 Simplifying n = 7
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