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Simplifying 650 + 30(n + -10) = 750 + 22(n + -12) Reorder the terms: 650 + 30(-10 + n) = 750 + 22(n + -12) 650 + (-10 * 30 + n * 30) = 750 + 22(n + -12) 650 + (-300 + 30n) = 750 + 22(n + -12) Combine like terms: 650 + -300 = 350 350 + 30n = 750 + 22(n + -12) Reorder the terms: 350 + 30n = 750 + 22(-12 + n) 350 + 30n = 750 + (-12 * 22 + n * 22) 350 + 30n = 750 + (-264 + 22n) Combine like terms: 750 + -264 = 486 350 + 30n = 486 + 22n Solving 350 + 30n = 486 + 22n Solving for variable 'n'. Move all terms containing n to the left, all other terms to the right. Add '-22n' to each side of the equation. 350 + 30n + -22n = 486 + 22n + -22n Combine like terms: 30n + -22n = 8n 350 + 8n = 486 + 22n + -22n Combine like terms: 22n + -22n = 0 350 + 8n = 486 + 0 350 + 8n = 486 Add '-350' to each side of the equation. 350 + -350 + 8n = 486 + -350 Combine like terms: 350 + -350 = 0 0 + 8n = 486 + -350 8n = 486 + -350 Combine like terms: 486 + -350 = 136 8n = 136 Divide each side by '8'. n = 17 Simplifying n = 17
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