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Simplifying 7(5v + -4) + -1 = 14 + -8v Reorder the terms: 7(-4 + 5v) + -1 = 14 + -8v (-4 * 7 + 5v * 7) + -1 = 14 + -8v (-28 + 35v) + -1 = 14 + -8v Reorder the terms: -28 + -1 + 35v = 14 + -8v Combine like terms: -28 + -1 = -29 -29 + 35v = 14 + -8v Solving -29 + 35v = 14 + -8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8v' to each side of the equation. -29 + 35v + 8v = 14 + -8v + 8v Combine like terms: 35v + 8v = 43v -29 + 43v = 14 + -8v + 8v Combine like terms: -8v + 8v = 0 -29 + 43v = 14 + 0 -29 + 43v = 14 Add '29' to each side of the equation. -29 + 29 + 43v = 14 + 29 Combine like terms: -29 + 29 = 0 0 + 43v = 14 + 29 43v = 14 + 29 Combine like terms: 14 + 29 = 43 43v = 43 Divide each side by '43'. v = 1 Simplifying v = 1
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