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Simplifying 8(n + 8) = 19 + -7n Reorder the terms: 8(8 + n) = 19 + -7n (8 * 8 + n * 8) = 19 + -7n (64 + 8n) = 19 + -7n Solving 64 + 8n = 19 + -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. 64 + 8n + 7n = 19 + -7n + 7n Combine like terms: 8n + 7n = 15n 64 + 15n = 19 + -7n + 7n Combine like terms: -7n + 7n = 0 64 + 15n = 19 + 0 64 + 15n = 19 Add '-64' to each side of the equation. 64 + -64 + 15n = 19 + -64 Combine like terms: 64 + -64 = 0 0 + 15n = 19 + -64 15n = 19 + -64 Combine like terms: 19 + -64 = -45 15n = -45 Divide each side by '15'. n = -3 Simplifying n = -3
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