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Simplifying 5(2 + n) = 2(n + -1) (2 * 5 + n * 5) = 2(n + -1) (10 + 5n) = 2(n + -1) Reorder the terms: 10 + 5n = 2(-1 + n) 10 + 5n = (-1 * 2 + n * 2) 10 + 5n = (-2 + 2n) Solving 10 + 5n = -2 + 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. 10 + 5n + -2n = -2 + 2n + -2n Combine like terms: 5n + -2n = 3n 10 + 3n = -2 + 2n + -2n Combine like terms: 2n + -2n = 0 10 + 3n = -2 + 0 10 + 3n = -2 Add '-10' to each side of the equation. 10 + -10 + 3n = -2 + -10 Combine like terms: 10 + -10 = 0 0 + 3n = -2 + -10 3n = -2 + -10 Combine like terms: -2 + -10 = -12 3n = -12 Divide each side by '3'. n = -4 Simplifying n = -4
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