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Simplifying 4(v + -2) + -5 = -4(-4v + 7) + -3v Reorder the terms: 4(-2 + v) + -5 = -4(-4v + 7) + -3v (-2 * 4 + v * 4) + -5 = -4(-4v + 7) + -3v (-8 + 4v) + -5 = -4(-4v + 7) + -3v Reorder the terms: -8 + -5 + 4v = -4(-4v + 7) + -3v Combine like terms: -8 + -5 = -13 -13 + 4v = -4(-4v + 7) + -3v Reorder the terms: -13 + 4v = -4(7 + -4v) + -3v -13 + 4v = (7 * -4 + -4v * -4) + -3v -13 + 4v = (-28 + 16v) + -3v Combine like terms: 16v + -3v = 13v -13 + 4v = -28 + 13v Solving -13 + 4v = -28 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -13 + 4v + -13v = -28 + 13v + -13v Combine like terms: 4v + -13v = -9v -13 + -9v = -28 + 13v + -13v Combine like terms: 13v + -13v = 0 -13 + -9v = -28 + 0 -13 + -9v = -28 Add '13' to each side of the equation. -13 + 13 + -9v = -28 + 13 Combine like terms: -13 + 13 = 0 0 + -9v = -28 + 13 -9v = -28 + 13 Combine like terms: -28 + 13 = -15 -9v = -15 Divide each side by '-9'. v = 1.666666667 Simplifying v = 1.666666667
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