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Simplifying 3v + 42 = 7(v + 2) Reorder the terms: 42 + 3v = 7(v + 2) Reorder the terms: 42 + 3v = 7(2 + v) 42 + 3v = (2 * 7 + v * 7) 42 + 3v = (14 + 7v) Solving 42 + 3v = 14 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 42 + 3v + -7v = 14 + 7v + -7v Combine like terms: 3v + -7v = -4v 42 + -4v = 14 + 7v + -7v Combine like terms: 7v + -7v = 0 42 + -4v = 14 + 0 42 + -4v = 14 Add '-42' to each side of the equation. 42 + -42 + -4v = 14 + -42 Combine like terms: 42 + -42 = 0 0 + -4v = 14 + -42 -4v = 14 + -42 Combine like terms: 14 + -42 = -28 -4v = -28 Divide each side by '-4'. v = 7 Simplifying v = 7
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