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Simplifying 127 = 7 + -8(n + -7) Reorder the terms: 127 = 7 + -8(-7 + n) 127 = 7 + (-7 * -8 + n * -8) 127 = 7 + (56 + -8n) Combine like terms: 7 + 56 = 63 127 = 63 + -8n Solving 127 = 63 + -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. 127 + 8n = 63 + -8n + 8n Combine like terms: -8n + 8n = 0 127 + 8n = 63 + 0 127 + 8n = 63 Add '-127' to each side of the equation. 127 + -127 + 8n = 63 + -127 Combine like terms: 127 + -127 = 0 0 + 8n = 63 + -127 8n = 63 + -127 Combine like terms: 63 + -127 = -64 8n = -64 Divide each side by '8'. n = -8 Simplifying n = -8
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