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Simplifying 8(v + 7) + 2v = 38 Reorder the terms: 8(7 + v) + 2v = 38 (7 * 8 + v * 8) + 2v = 38 (56 + 8v) + 2v = 38 Combine like terms: 8v + 2v = 10v 56 + 10v = 38 Solving 56 + 10v = 38 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-56' to each side of the equation. 56 + -56 + 10v = 38 + -56 Combine like terms: 56 + -56 = 0 0 + 10v = 38 + -56 10v = 38 + -56 Combine like terms: 38 + -56 = -18 10v = -18 Divide each side by '10'. v = -1.8 Simplifying v = -1.8
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