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Simplifying 3(v + -5) + -3 = -4(-3v + 2) + -5v Reorder the terms: 3(-5 + v) + -3 = -4(-3v + 2) + -5v (-5 * 3 + v * 3) + -3 = -4(-3v + 2) + -5v (-15 + 3v) + -3 = -4(-3v + 2) + -5v Reorder the terms: -15 + -3 + 3v = -4(-3v + 2) + -5v Combine like terms: -15 + -3 = -18 -18 + 3v = -4(-3v + 2) + -5v Reorder the terms: -18 + 3v = -4(2 + -3v) + -5v -18 + 3v = (2 * -4 + -3v * -4) + -5v -18 + 3v = (-8 + 12v) + -5v Combine like terms: 12v + -5v = 7v -18 + 3v = -8 + 7v Solving -18 + 3v = -8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -18 + 3v + -7v = -8 + 7v + -7v Combine like terms: 3v + -7v = -4v -18 + -4v = -8 + 7v + -7v Combine like terms: 7v + -7v = 0 -18 + -4v = -8 + 0 -18 + -4v = -8 Add '18' to each side of the equation. -18 + 18 + -4v = -8 + 18 Combine like terms: -18 + 18 = 0 0 + -4v = -8 + 18 -4v = -8 + 18 Combine like terms: -8 + 18 = 10 -4v = 10 Divide each side by '-4'. v = -2.5 Simplifying v = -2.5
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