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