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Simplifying 2(-8n + 7) = -7n + -5(2 + -3n) Reorder the terms: 2(7 + -8n) = -7n + -5(2 + -3n) (7 * 2 + -8n * 2) = -7n + -5(2 + -3n) (14 + -16n) = -7n + -5(2 + -3n) 14 + -16n = -7n + (2 * -5 + -3n * -5) 14 + -16n = -7n + (-10 + 15n) Reorder the terms: 14 + -16n = -10 + -7n + 15n Combine like terms: -7n + 15n = 8n 14 + -16n = -10 + 8n Solving 14 + -16n = -10 + 8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-8n' to each side of the equation. 14 + -16n + -8n = -10 + 8n + -8n Combine like terms: -16n + -8n = -24n 14 + -24n = -10 + 8n + -8n Combine like terms: 8n + -8n = 0 14 + -24n = -10 + 0 14 + -24n = -10 Add '-14' to each side of the equation. 14 + -14 + -24n = -10 + -14 Combine like terms: 14 + -14 = 0 0 + -24n = -10 + -14 -24n = -10 + -14 Combine like terms: -10 + -14 = -24 -24n = -24 Divide each side by '-24'. n = 1 Simplifying n = 1
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