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Simplifying -8(v + -4) = 3v + 10 Reorder the terms: -8(-4 + v) = 3v + 10 (-4 * -8 + v * -8) = 3v + 10 (32 + -8v) = 3v + 10 Reorder the terms: 32 + -8v = 10 + 3v Solving 32 + -8v = 10 + 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. 32 + -8v + -3v = 10 + 3v + -3v Combine like terms: -8v + -3v = -11v 32 + -11v = 10 + 3v + -3v Combine like terms: 3v + -3v = 0 32 + -11v = 10 + 0 32 + -11v = 10 Add '-32' to each side of the equation. 32 + -32 + -11v = 10 + -32 Combine like terms: 32 + -32 = 0 0 + -11v = 10 + -32 -11v = 10 + -32 Combine like terms: 10 + -32 = -22 -11v = -22 Divide each side by '-11'. v = 2 Simplifying v = 2
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