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Simplifying 7(4 + v) + 31v = 13v (4 * 7 + v * 7) + 31v = 13v (28 + 7v) + 31v = 13v Combine like terms: 7v + 31v = 38v 28 + 38v = 13v Solving 28 + 38v = 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. 28 + 38v + -13v = 13v + -13v Combine like terms: 38v + -13v = 25v 28 + 25v = 13v + -13v Combine like terms: 13v + -13v = 0 28 + 25v = 0 Add '-28' to each side of the equation. 28 + -28 + 25v = 0 + -28 Combine like terms: 28 + -28 = 0 0 + 25v = 0 + -28 25v = 0 + -28 Combine like terms: 0 + -28 = -28 25v = -28 Divide each side by '25'. v = -1.12 Simplifying v = -1.12
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