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Simplifying -8(n + -3) = 9 + -7n Reorder the terms: -8(-3 + n) = 9 + -7n (-3 * -8 + n * -8) = 9 + -7n (24 + -8n) = 9 + -7n Solving 24 + -8n = 9 + -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. 24 + -8n + 7n = 9 + -7n + 7n Combine like terms: -8n + 7n = -1n 24 + -1n = 9 + -7n + 7n Combine like terms: -7n + 7n = 0 24 + -1n = 9 + 0 24 + -1n = 9 Add '-24' to each side of the equation. 24 + -24 + -1n = 9 + -24 Combine like terms: 24 + -24 = 0 0 + -1n = 9 + -24 -1n = 9 + -24 Combine like terms: 9 + -24 = -15 -1n = -15 Divide each side by '-1'. n = 15 Simplifying n = 15
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