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Simplifying 4v + 2(1 + -2v) = 5v + -28 4v + (1 * 2 + -2v * 2) = 5v + -28 4v + (2 + -4v) = 5v + -28 Reorder the terms: 2 + 4v + -4v = 5v + -28 Combine like terms: 4v + -4v = 0 2 + 0 = 5v + -28 2 = 5v + -28 Reorder the terms: 2 = -28 + 5v Solving 2 = -28 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 2 + -5v = -28 + 5v + -5v Combine like terms: 5v + -5v = 0 2 + -5v = -28 + 0 2 + -5v = -28 Add '-2' to each side of the equation. 2 + -2 + -5v = -28 + -2 Combine like terms: 2 + -2 = 0 0 + -5v = -28 + -2 -5v = -28 + -2 Combine like terms: -28 + -2 = -30 -5v = -30 Divide each side by '-5'. v = 6 Simplifying v = 6
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