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Simplifying 4(2n + 35) + 7(n + 1) = 0 Reorder the terms: 4(35 + 2n) + 7(n + 1) = 0 (35 * 4 + 2n * 4) + 7(n + 1) = 0 (140 + 8n) + 7(n + 1) = 0 Reorder the terms: 140 + 8n + 7(1 + n) = 0 140 + 8n + (1 * 7 + n * 7) = 0 140 + 8n + (7 + 7n) = 0 Reorder the terms: 140 + 7 + 8n + 7n = 0 Combine like terms: 140 + 7 = 147 147 + 8n + 7n = 0 Combine like terms: 8n + 7n = 15n 147 + 15n = 0 Solving 147 + 15n = 0 Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-147' to each side of the equation. 147 + -147 + 15n = 0 + -147 Combine like terms: 147 + -147 = 0 0 + 15n = 0 + -147 15n = 0 + -147 Combine like terms: 0 + -147 = -147 15n = -147 Divide each side by '15'. n = -9.8 Simplifying n = -9.8
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