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Simplifying -1(v + -4) = v + -10 Reorder the terms: -1(-4 + v) = v + -10 (-4 * -1 + v * -1) = v + -10 (4 + -1v) = v + -10 Reorder the terms: 4 + -1v = -10 + v Solving 4 + -1v = -10 + v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-1v' to each side of the equation. 4 + -1v + -1v = -10 + v + -1v Combine like terms: -1v + -1v = -2v 4 + -2v = -10 + v + -1v Combine like terms: v + -1v = 0 4 + -2v = -10 + 0 4 + -2v = -10 Add '-4' to each side of the equation. 4 + -4 + -2v = -10 + -4 Combine like terms: 4 + -4 = 0 0 + -2v = -10 + -4 -2v = -10 + -4 Combine like terms: -10 + -4 = -14 -2v = -14 Divide each side by '-2'. v = 7 Simplifying v = 7
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