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Simplifying 107 = 8(5v + 1) + -7v Reorder the terms: 107 = 8(1 + 5v) + -7v 107 = (1 * 8 + 5v * 8) + -7v 107 = (8 + 40v) + -7v Combine like terms: 40v + -7v = 33v 107 = 8 + 33v Solving 107 = 8 + 33v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-33v' to each side of the equation. 107 + -33v = 8 + 33v + -33v Combine like terms: 33v + -33v = 0 107 + -33v = 8 + 0 107 + -33v = 8 Add '-107' to each side of the equation. 107 + -107 + -33v = 8 + -107 Combine like terms: 107 + -107 = 0 0 + -33v = 8 + -107 -33v = 8 + -107 Combine like terms: 8 + -107 = -99 -33v = -99 Divide each side by '-33'. v = 3 Simplifying v = 3
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