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Simplifying 15 + -3v = 8(1 + -5v) + 7 15 + -3v = (1 * 8 + -5v * 8) + 7 15 + -3v = (8 + -40v) + 7 Reorder the terms: 15 + -3v = 8 + 7 + -40v Combine like terms: 8 + 7 = 15 15 + -3v = 15 + -40v Add '-15' to each side of the equation. 15 + -15 + -3v = 15 + -15 + -40v Combine like terms: 15 + -15 = 0 0 + -3v = 15 + -15 + -40v -3v = 15 + -15 + -40v Combine like terms: 15 + -15 = 0 -3v = 0 + -40v -3v = -40v Solving -3v = -40v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '40v' to each side of the equation. -3v + 40v = -40v + 40v Combine like terms: -3v + 40v = 37v 37v = -40v + 40v Combine like terms: -40v + 40v = 0 37v = 0 Divide each side by '37'. v = 0 Simplifying v = 0
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