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Simplifying 4(v + -2) + -7 = -3(-3v + 3) + -1v Reorder the terms: 4(-2 + v) + -7 = -3(-3v + 3) + -1v (-2 * 4 + v * 4) + -7 = -3(-3v + 3) + -1v (-8 + 4v) + -7 = -3(-3v + 3) + -1v Reorder the terms: -8 + -7 + 4v = -3(-3v + 3) + -1v Combine like terms: -8 + -7 = -15 -15 + 4v = -3(-3v + 3) + -1v Reorder the terms: -15 + 4v = -3(3 + -3v) + -1v -15 + 4v = (3 * -3 + -3v * -3) + -1v -15 + 4v = (-9 + 9v) + -1v Combine like terms: 9v + -1v = 8v -15 + 4v = -9 + 8v Solving -15 + 4v = -9 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. -15 + 4v + -8v = -9 + 8v + -8v Combine like terms: 4v + -8v = -4v -15 + -4v = -9 + 8v + -8v Combine like terms: 8v + -8v = 0 -15 + -4v = -9 + 0 -15 + -4v = -9 Add '15' to each side of the equation. -15 + 15 + -4v = -9 + 15 Combine like terms: -15 + 15 = 0 0 + -4v = -9 + 15 -4v = -9 + 15 Combine like terms: -9 + 15 = 6 -4v = 6 Divide each side by '-4'. v = -1.5 Simplifying v = -1.5
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