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Simplifying -4(1 + 8v) + 3v = -178 (1 * -4 + 8v * -4) + 3v = -178 (-4 + -32v) + 3v = -178 Combine like terms: -32v + 3v = -29v -4 + -29v = -178 Solving -4 + -29v = -178 Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -29v = -178 + 4 Combine like terms: -4 + 4 = 0 0 + -29v = -178 + 4 -29v = -178 + 4 Combine like terms: -178 + 4 = -174 -29v = -174 Divide each side by '-29'. v = 6 Simplifying v = 6
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