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Simplifying 104 = -11(v + -10) + 14(7v + 12) Reorder the terms: 104 = -11(-10 + v) + 14(7v + 12) 104 = (-10 * -11 + v * -11) + 14(7v + 12) 104 = (110 + -11v) + 14(7v + 12) Reorder the terms: 104 = 110 + -11v + 14(12 + 7v) 104 = 110 + -11v + (12 * 14 + 7v * 14) 104 = 110 + -11v + (168 + 98v) Reorder the terms: 104 = 110 + 168 + -11v + 98v Combine like terms: 110 + 168 = 278 104 = 278 + -11v + 98v Combine like terms: -11v + 98v = 87v 104 = 278 + 87v Solving 104 = 278 + 87v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-87v' to each side of the equation. 104 + -87v = 278 + 87v + -87v Combine like terms: 87v + -87v = 0 104 + -87v = 278 + 0 104 + -87v = 278 Add '-104' to each side of the equation. 104 + -104 + -87v = 278 + -104 Combine like terms: 104 + -104 = 0 0 + -87v = 278 + -104 -87v = 278 + -104 Combine like terms: 278 + -104 = 174 -87v = 174 Divide each side by '-87'. v = -2 Simplifying v = -2
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