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Simplifying -3(-5v + 5) + -1v = 4(v + -2) + -1 Reorder the terms: -3(5 + -5v) + -1v = 4(v + -2) + -1 (5 * -3 + -5v * -3) + -1v = 4(v + -2) + -1 (-15 + 15v) + -1v = 4(v + -2) + -1 Combine like terms: 15v + -1v = 14v -15 + 14v = 4(v + -2) + -1 Reorder the terms: -15 + 14v = 4(-2 + v) + -1 -15 + 14v = (-2 * 4 + v * 4) + -1 -15 + 14v = (-8 + 4v) + -1 Reorder the terms: -15 + 14v = -8 + -1 + 4v Combine like terms: -8 + -1 = -9 -15 + 14v = -9 + 4v Solving -15 + 14v = -9 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. -15 + 14v + -4v = -9 + 4v + -4v Combine like terms: 14v + -4v = 10v -15 + 10v = -9 + 4v + -4v Combine like terms: 4v + -4v = 0 -15 + 10v = -9 + 0 -15 + 10v = -9 Add '15' to each side of the equation. -15 + 15 + 10v = -9 + 15 Combine like terms: -15 + 15 = 0 0 + 10v = -9 + 15 10v = -9 + 15 Combine like terms: -9 + 15 = 6 10v = 6 Divide each side by '10'. v = 0.6 Simplifying v = 0.6
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