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Simplifying 7(n + 7) = -80 + -8(n + -3) Reorder the terms: 7(7 + n) = -80 + -8(n + -3) (7 * 7 + n * 7) = -80 + -8(n + -3) (49 + 7n) = -80 + -8(n + -3) Reorder the terms: 49 + 7n = -80 + -8(-3 + n) 49 + 7n = -80 + (-3 * -8 + n * -8) 49 + 7n = -80 + (24 + -8n) Combine like terms: -80 + 24 = -56 49 + 7n = -56 + -8n Solving 49 + 7n = -56 + -8n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '8n' to each side of the equation. 49 + 7n + 8n = -56 + -8n + 8n Combine like terms: 7n + 8n = 15n 49 + 15n = -56 + -8n + 8n Combine like terms: -8n + 8n = 0 49 + 15n = -56 + 0 49 + 15n = -56 Add '-49' to each side of the equation. 49 + -49 + 15n = -56 + -49 Combine like terms: 49 + -49 = 0 0 + 15n = -56 + -49 15n = -56 + -49 Combine like terms: -56 + -49 = -105 15n = -105 Divide each side by '15'. n = -7 Simplifying n = -7
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