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Simplifying 30 = 3v + 4(v + 4) Reorder the terms: 30 = 3v + 4(4 + v) 30 = 3v + (4 * 4 + v * 4) 30 = 3v + (16 + 4v) Reorder the terms: 30 = 16 + 3v + 4v Combine like terms: 3v + 4v = 7v 30 = 16 + 7v Solving 30 = 16 + 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. 30 + -7v = 16 + 7v + -7v Combine like terms: 7v + -7v = 0 30 + -7v = 16 + 0 30 + -7v = 16 Add '-30' to each side of the equation. 30 + -30 + -7v = 16 + -30 Combine like terms: 30 + -30 = 0 0 + -7v = 16 + -30 -7v = 16 + -30 Combine like terms: 16 + -30 = -14 -7v = -14 Divide each side by '-7'. v = 2 Simplifying v = 2
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