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Simplifying -3v + -43 = 8(v + 7) Reorder the terms: -43 + -3v = 8(v + 7) Reorder the terms: -43 + -3v = 8(7 + v) -43 + -3v = (7 * 8 + v * 8) -43 + -3v = (56 + 8v) Solving -43 + -3v = 56 + 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. -43 + -3v + -8v = 56 + 8v + -8v Combine like terms: -3v + -8v = -11v -43 + -11v = 56 + 8v + -8v Combine like terms: 8v + -8v = 0 -43 + -11v = 56 + 0 -43 + -11v = 56 Add '43' to each side of the equation. -43 + 43 + -11v = 56 + 43 Combine like terms: -43 + 43 = 0 0 + -11v = 56 + 43 -11v = 56 + 43 Combine like terms: 56 + 43 = 99 -11v = 99 Divide each side by '-11'. v = -9 Simplifying v = -9
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