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Simplifying -5n + -5(-8n + 3) = 13 + 7n Reorder the terms: -5n + -5(3 + -8n) = 13 + 7n -5n + (3 * -5 + -8n * -5) = 13 + 7n -5n + (-15 + 40n) = 13 + 7n Reorder the terms: -15 + -5n + 40n = 13 + 7n Combine like terms: -5n + 40n = 35n -15 + 35n = 13 + 7n Solving -15 + 35n = 13 + 7n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-7n' to each side of the equation. -15 + 35n + -7n = 13 + 7n + -7n Combine like terms: 35n + -7n = 28n -15 + 28n = 13 + 7n + -7n Combine like terms: 7n + -7n = 0 -15 + 28n = 13 + 0 -15 + 28n = 13 Add '15' to each side of the equation. -15 + 15 + 28n = 13 + 15 Combine like terms: -15 + 15 = 0 0 + 28n = 13 + 15 28n = 13 + 15 Combine like terms: 13 + 15 = 28 28n = 28 Divide each side by '28'. n = 1 Simplifying n = 1
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