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Simplifying -8(v + -1) = 3v + 30 Reorder the terms: -8(-1 + v) = 3v + 30 (-1 * -8 + v * -8) = 3v + 30 (8 + -8v) = 3v + 30 Reorder the terms: 8 + -8v = 30 + 3v Solving 8 + -8v = 30 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. 8 + -8v + -3v = 30 + 3v + -3v Combine like terms: -8v + -3v = -11v 8 + -11v = 30 + 3v + -3v Combine like terms: 3v + -3v = 0 8 + -11v = 30 + 0 8 + -11v = 30 Add '-8' to each side of the equation. 8 + -8 + -11v = 30 + -8 Combine like terms: 8 + -8 = 0 0 + -11v = 30 + -8 -11v = 30 + -8 Combine like terms: 30 + -8 = 22 -11v = 22 Divide each side by '-11'. v = -2 Simplifying v = -2
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