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Simplifying 8(6n + -1) + -3(8n + 1) = 13 Reorder the terms: 8(-1 + 6n) + -3(8n + 1) = 13 (-1 * 8 + 6n * 8) + -3(8n + 1) = 13 (-8 + 48n) + -3(8n + 1) = 13 Reorder the terms: -8 + 48n + -3(1 + 8n) = 13 -8 + 48n + (1 * -3 + 8n * -3) = 13 -8 + 48n + (-3 + -24n) = 13 Reorder the terms: -8 + -3 + 48n + -24n = 13 Combine like terms: -8 + -3 = -11 -11 + 48n + -24n = 13 Combine like terms: 48n + -24n = 24n -11 + 24n = 13 Solving -11 + 24n = 13 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + 24n = 13 + 11 Combine like terms: -11 + 11 = 0 0 + 24n = 13 + 11 24n = 13 + 11 Combine like terms: 13 + 11 = 24 24n = 24 Divide each side by '24'. n = 1 Simplifying n = 1
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