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Simplifying 4(2n + 5) + 4 = 3(5n + -6) Reorder the terms: 4(5 + 2n) + 4 = 3(5n + -6) (5 * 4 + 2n * 4) + 4 = 3(5n + -6) (20 + 8n) + 4 = 3(5n + -6) Reorder the terms: 20 + 4 + 8n = 3(5n + -6) Combine like terms: 20 + 4 = 24 24 + 8n = 3(5n + -6) Reorder the terms: 24 + 8n = 3(-6 + 5n) 24 + 8n = (-6 * 3 + 5n * 3) 24 + 8n = (-18 + 15n) Solving 24 + 8n = -18 + 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 + 8n + -15n = -18 + 15n + -15n Combine like terms: 8n + -15n = -7n 24 + -7n = -18 + 15n + -15n Combine like terms: 15n + -15n = 0 24 + -7n = -18 + 0 24 + -7n = -18 Add '-24' to each side of the equation. 24 + -24 + -7n = -18 + -24 Combine like terms: 24 + -24 = 0 0 + -7n = -18 + -24 -7n = -18 + -24 Combine like terms: -18 + -24 = -42 -7n = -42 Divide each side by '-7'. n = 6 Simplifying n = 6
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