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Simplifying 8n + 15 = -7 + 7(n + -7) Reorder the terms: 15 + 8n = -7 + 7(n + -7) Reorder the terms: 15 + 8n = -7 + 7(-7 + n) 15 + 8n = -7 + (-7 * 7 + n * 7) 15 + 8n = -7 + (-49 + 7n) Combine like terms: -7 + -49 = -56 15 + 8n = -56 + 7n Solving 15 + 8n = -56 + 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. 15 + 8n + -7n = -56 + 7n + -7n Combine like terms: 8n + -7n = 1n 15 + 1n = -56 + 7n + -7n Combine like terms: 7n + -7n = 0 15 + 1n = -56 + 0 15 + 1n = -56 Add '-15' to each side of the equation. 15 + -15 + 1n = -56 + -15 Combine like terms: 15 + -15 = 0 0 + 1n = -56 + -15 1n = -56 + -15 Combine like terms: -56 + -15 = -71 1n = -71 Divide each side by '1'. n = -71 Simplifying n = -71
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