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Simplifying 3(v + -5) + -3 = -4(-5v + 8) + -1v Reorder the terms: 3(-5 + v) + -3 = -4(-5v + 8) + -1v (-5 * 3 + v * 3) + -3 = -4(-5v + 8) + -1v (-15 + 3v) + -3 = -4(-5v + 8) + -1v Reorder the terms: -15 + -3 + 3v = -4(-5v + 8) + -1v Combine like terms: -15 + -3 = -18 -18 + 3v = -4(-5v + 8) + -1v Reorder the terms: -18 + 3v = -4(8 + -5v) + -1v -18 + 3v = (8 * -4 + -5v * -4) + -1v -18 + 3v = (-32 + 20v) + -1v Combine like terms: 20v + -1v = 19v -18 + 3v = -32 + 19v Solving -18 + 3v = -32 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -18 + 3v + -19v = -32 + 19v + -19v Combine like terms: 3v + -19v = -16v -18 + -16v = -32 + 19v + -19v Combine like terms: 19v + -19v = 0 -18 + -16v = -32 + 0 -18 + -16v = -32 Add '18' to each side of the equation. -18 + 18 + -16v = -32 + 18 Combine like terms: -18 + 18 = 0 0 + -16v = -32 + 18 -16v = -32 + 18 Combine like terms: -32 + 18 = -14 -16v = -14 Divide each side by '-16'. v = 0.875 Simplifying v = 0.875
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