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Simplifying 5(2 + 7n) + -4n = -2(n + -5) (2 * 5 + 7n * 5) + -4n = -2(n + -5) (10 + 35n) + -4n = -2(n + -5) Combine like terms: 35n + -4n = 31n 10 + 31n = -2(n + -5) Reorder the terms: 10 + 31n = -2(-5 + n) 10 + 31n = (-5 * -2 + n * -2) 10 + 31n = (10 + -2n) Add '-10' to each side of the equation. 10 + -10 + 31n = 10 + -10 + -2n Combine like terms: 10 + -10 = 0 0 + 31n = 10 + -10 + -2n 31n = 10 + -10 + -2n Combine like terms: 10 + -10 = 0 31n = 0 + -2n 31n = -2n Solving 31n = -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. 31n + 2n = -2n + 2n Combine like terms: 31n + 2n = 33n 33n = -2n + 2n Combine like terms: -2n + 2n = 0 33n = 0 Divide each side by '33'. n = 0 Simplifying n = 0
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