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Simplifying -7v + 5(v + 3) = 7 Reorder the terms: -7v + 5(3 + v) = 7 -7v + (3 * 5 + v * 5) = 7 -7v + (15 + 5v) = 7 Reorder the terms: 15 + -7v + 5v = 7 Combine like terms: -7v + 5v = -2v 15 + -2v = 7 Solving 15 + -2v = 7 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + -2v = 7 + -15 Combine like terms: 15 + -15 = 0 0 + -2v = 7 + -15 -2v = 7 + -15 Combine like terms: 7 + -15 = -8 -2v = -8 Divide each side by '-2'. v = 4 Simplifying v = 4
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