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Simplifying -5(-6 + 10n) + 13(10 + 5n) = 2n + -7n (-6 * -5 + 10n * -5) + 13(10 + 5n) = 2n + -7n (30 + -50n) + 13(10 + 5n) = 2n + -7n 30 + -50n + (10 * 13 + 5n * 13) = 2n + -7n 30 + -50n + (130 + 65n) = 2n + -7n Reorder the terms: 30 + 130 + -50n + 65n = 2n + -7n Combine like terms: 30 + 130 = 160 160 + -50n + 65n = 2n + -7n Combine like terms: -50n + 65n = 15n 160 + 15n = 2n + -7n Combine like terms: 2n + -7n = -5n 160 + 15n = -5n Solving 160 + 15n = -5n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '5n' to each side of the equation. 160 + 15n + 5n = -5n + 5n Combine like terms: 15n + 5n = 20n 160 + 20n = -5n + 5n Combine like terms: -5n + 5n = 0 160 + 20n = 0 Add '-160' to each side of the equation. 160 + -160 + 20n = 0 + -160 Combine like terms: 160 + -160 = 0 0 + 20n = 0 + -160 20n = 0 + -160 Combine like terms: 0 + -160 = -160 20n = -160 Divide each side by '20'. n = -8 Simplifying n = -8
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