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Simplifying 24 = 7(n + -3) + 8n Reorder the terms: 24 = 7(-3 + n) + 8n 24 = (-3 * 7 + n * 7) + 8n 24 = (-21 + 7n) + 8n Combine like terms: 7n + 8n = 15n 24 = -21 + 15n Solving 24 = -21 + 15n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-15n' to each side of the equation. 24 + -15n = -21 + 15n + -15n Combine like terms: 15n + -15n = 0 24 + -15n = -21 + 0 24 + -15n = -21 Add '-24' to each side of the equation. 24 + -24 + -15n = -21 + -24 Combine like terms: 24 + -24 = 0 0 + -15n = -21 + -24 -15n = -21 + -24 Combine like terms: -21 + -24 = -45 -15n = -45 Divide each side by '-15'. n = 3 Simplifying n = 3
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