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Simplifying (v + 6) * 2 = 2v + 10v + 28 Reorder the terms: (6 + v) * 2 = 2v + 10v + 28 Reorder the terms for easier multiplication: 2(6 + v) = 2v + 10v + 28 (6 * 2 + v * 2) = 2v + 10v + 28 (12 + 2v) = 2v + 10v + 28 Reorder the terms: 12 + 2v = 28 + 2v + 10v Combine like terms: 2v + 10v = 12v 12 + 2v = 28 + 12v Solving 12 + 2v = 28 + 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. 12 + 2v + -12v = 28 + 12v + -12v Combine like terms: 2v + -12v = -10v 12 + -10v = 28 + 12v + -12v Combine like terms: 12v + -12v = 0 12 + -10v = 28 + 0 12 + -10v = 28 Add '-12' to each side of the equation. 12 + -12 + -10v = 28 + -12 Combine like terms: 12 + -12 = 0 0 + -10v = 28 + -12 -10v = 28 + -12 Combine like terms: 28 + -12 = 16 -10v = 16 Divide each side by '-10'. v = -1.6 Simplifying v = -1.6
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