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Simplifying 35 + 5v = 4(3 + 7v) 35 + 5v = (3 * 4 + 7v * 4) 35 + 5v = (12 + 28v) Solving 35 + 5v = 12 + 28v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-28v' to each side of the equation. 35 + 5v + -28v = 12 + 28v + -28v Combine like terms: 5v + -28v = -23v 35 + -23v = 12 + 28v + -28v Combine like terms: 28v + -28v = 0 35 + -23v = 12 + 0 35 + -23v = 12 Add '-35' to each side of the equation. 35 + -35 + -23v = 12 + -35 Combine like terms: 35 + -35 = 0 0 + -23v = 12 + -35 -23v = 12 + -35 Combine like terms: 12 + -35 = -23 -23v = -23 Divide each side by '-23'. v = 1 Simplifying v = 1
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