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Simplifying 17 + -1(n + -18) = 7(n + 4) Reorder the terms: 17 + -1(-18 + n) = 7(n + 4) 17 + (-18 * -1 + n * -1) = 7(n + 4) 17 + (18 + -1n) = 7(n + 4) Combine like terms: 17 + 18 = 35 35 + -1n = 7(n + 4) Reorder the terms: 35 + -1n = 7(4 + n) 35 + -1n = (4 * 7 + n * 7) 35 + -1n = (28 + 7n) Solving 35 + -1n = 28 + 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. 35 + -1n + -7n = 28 + 7n + -7n Combine like terms: -1n + -7n = -8n 35 + -8n = 28 + 7n + -7n Combine like terms: 7n + -7n = 0 35 + -8n = 28 + 0 35 + -8n = 28 Add '-35' to each side of the equation. 35 + -35 + -8n = 28 + -35 Combine like terms: 35 + -35 = 0 0 + -8n = 28 + -35 -8n = 28 + -35 Combine like terms: 28 + -35 = -7 -8n = -7 Divide each side by '-8'. n = 0.875 Simplifying n = 0.875
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