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Simplifying -8(v + -2) = -5v + 43 Reorder the terms: -8(-2 + v) = -5v + 43 (-2 * -8 + v * -8) = -5v + 43 (16 + -8v) = -5v + 43 Reorder the terms: 16 + -8v = 43 + -5v Solving 16 + -8v = 43 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 16 + -8v + 5v = 43 + -5v + 5v Combine like terms: -8v + 5v = -3v 16 + -3v = 43 + -5v + 5v Combine like terms: -5v + 5v = 0 16 + -3v = 43 + 0 16 + -3v = 43 Add '-16' to each side of the equation. 16 + -16 + -3v = 43 + -16 Combine like terms: 16 + -16 = 0 0 + -3v = 43 + -16 -3v = 43 + -16 Combine like terms: 43 + -16 = 27 -3v = 27 Divide each side by '-3'. v = -9 Simplifying v = -9
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