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Simplifying -5(v + -10) + -3(v + 6) = 0 Reorder the terms: -5(-10 + v) + -3(v + 6) = 0 (-10 * -5 + v * -5) + -3(v + 6) = 0 (50 + -5v) + -3(v + 6) = 0 Reorder the terms: 50 + -5v + -3(6 + v) = 0 50 + -5v + (6 * -3 + v * -3) = 0 50 + -5v + (-18 + -3v) = 0 Reorder the terms: 50 + -18 + -5v + -3v = 0 Combine like terms: 50 + -18 = 32 32 + -5v + -3v = 0 Combine like terms: -5v + -3v = -8v 32 + -8v = 0 Solving 32 + -8v = 0 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + -32 + -8v = 0 + -32 Combine like terms: 32 + -32 = 0 0 + -8v = 0 + -32 -8v = 0 + -32 Combine like terms: 0 + -32 = -32 -8v = -32 Divide each side by '-8'. v = 4 Simplifying v = 4
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