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Simplifying -11(v + 26) = -10(v + 33) + 3v Reorder the terms: -11(26 + v) = -10(v + 33) + 3v (26 * -11 + v * -11) = -10(v + 33) + 3v (-286 + -11v) = -10(v + 33) + 3v Reorder the terms: -286 + -11v = -10(33 + v) + 3v -286 + -11v = (33 * -10 + v * -10) + 3v -286 + -11v = (-330 + -10v) + 3v Combine like terms: -10v + 3v = -7v -286 + -11v = -330 + -7v Solving -286 + -11v = -330 + -7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '7v' to each side of the equation. -286 + -11v + 7v = -330 + -7v + 7v Combine like terms: -11v + 7v = -4v -286 + -4v = -330 + -7v + 7v Combine like terms: -7v + 7v = 0 -286 + -4v = -330 + 0 -286 + -4v = -330 Add '286' to each side of the equation. -286 + 286 + -4v = -330 + 286 Combine like terms: -286 + 286 = 0 0 + -4v = -330 + 286 -4v = -330 + 286 Combine like terms: -330 + 286 = -44 -4v = -44 Divide each side by '-4'. v = 11 Simplifying v = 11
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