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Simplifying -9 + -1(18v + -5) = 2(7v + -16) + -3v Reorder the terms: -9 + -1(-5 + 18v) = 2(7v + -16) + -3v -9 + (-5 * -1 + 18v * -1) = 2(7v + -16) + -3v -9 + (5 + -18v) = 2(7v + -16) + -3v Combine like terms: -9 + 5 = -4 -4 + -18v = 2(7v + -16) + -3v Reorder the terms: -4 + -18v = 2(-16 + 7v) + -3v -4 + -18v = (-16 * 2 + 7v * 2) + -3v -4 + -18v = (-32 + 14v) + -3v Combine like terms: 14v + -3v = 11v -4 + -18v = -32 + 11v Solving -4 + -18v = -32 + 11v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-11v' to each side of the equation. -4 + -18v + -11v = -32 + 11v + -11v Combine like terms: -18v + -11v = -29v -4 + -29v = -32 + 11v + -11v Combine like terms: 11v + -11v = 0 -4 + -29v = -32 + 0 -4 + -29v = -32 Add '4' to each side of the equation. -4 + 4 + -29v = -32 + 4 Combine like terms: -4 + 4 = 0 0 + -29v = -32 + 4 -29v = -32 + 4 Combine like terms: -32 + 4 = -28 -29v = -28 Divide each side by '-29'. v = 0.9655172414 Simplifying v = 0.9655172414
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