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Simplifying 17 + -8n = 3(7n + -4) Reorder the terms: 17 + -8n = 3(-4 + 7n) 17 + -8n = (-4 * 3 + 7n * 3) 17 + -8n = (-12 + 21n) Solving 17 + -8n = -12 + 21n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-21n' to each side of the equation. 17 + -8n + -21n = -12 + 21n + -21n Combine like terms: -8n + -21n = -29n 17 + -29n = -12 + 21n + -21n Combine like terms: 21n + -21n = 0 17 + -29n = -12 + 0 17 + -29n = -12 Add '-17' to each side of the equation. 17 + -17 + -29n = -12 + -17 Combine like terms: 17 + -17 = 0 0 + -29n = -12 + -17 -29n = -12 + -17 Combine like terms: -12 + -17 = -29 -29n = -29 Divide each side by '-29'. n = 1 Simplifying n = 1
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