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Simplifying 3(v + -3) + -7 = -4(-5v + 1) + -3v Reorder the terms: 3(-3 + v) + -7 = -4(-5v + 1) + -3v (-3 * 3 + v * 3) + -7 = -4(-5v + 1) + -3v (-9 + 3v) + -7 = -4(-5v + 1) + -3v Reorder the terms: -9 + -7 + 3v = -4(-5v + 1) + -3v Combine like terms: -9 + -7 = -16 -16 + 3v = -4(-5v + 1) + -3v Reorder the terms: -16 + 3v = -4(1 + -5v) + -3v -16 + 3v = (1 * -4 + -5v * -4) + -3v -16 + 3v = (-4 + 20v) + -3v Combine like terms: 20v + -3v = 17v -16 + 3v = -4 + 17v Solving -16 + 3v = -4 + 17v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-17v' to each side of the equation. -16 + 3v + -17v = -4 + 17v + -17v Combine like terms: 3v + -17v = -14v -16 + -14v = -4 + 17v + -17v Combine like terms: 17v + -17v = 0 -16 + -14v = -4 + 0 -16 + -14v = -4 Add '16' to each side of the equation. -16 + 16 + -14v = -4 + 16 Combine like terms: -16 + 16 = 0 0 + -14v = -4 + 16 -14v = -4 + 16 Combine like terms: -4 + 16 = 12 -14v = 12 Divide each side by '-14'. v = -0.8571428571 Simplifying v = -0.8571428571
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