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Simplifying 94 = 8(v + 1) + 2(1 + 2v) Reorder the terms: 94 = 8(1 + v) + 2(1 + 2v) 94 = (1 * 8 + v * 8) + 2(1 + 2v) 94 = (8 + 8v) + 2(1 + 2v) 94 = 8 + 8v + (1 * 2 + 2v * 2) 94 = 8 + 8v + (2 + 4v) Reorder the terms: 94 = 8 + 2 + 8v + 4v Combine like terms: 8 + 2 = 10 94 = 10 + 8v + 4v Combine like terms: 8v + 4v = 12v 94 = 10 + 12v Solving 94 = 10 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 94 + -12v = 10 + 12v + -12v Combine like terms: 12v + -12v = 0 94 + -12v = 10 + 0 94 + -12v = 10 Add '-94' to each side of the equation. 94 + -94 + -12v = 10 + -94 Combine like terms: 94 + -94 = 0 0 + -12v = 10 + -94 -12v = 10 + -94 Combine like terms: 10 + -94 = -84 -12v = -84 Divide each side by '-12'. v = 7 Simplifying v = 7
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