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Simplifying 4(v + -4) + -6 = -7(-2v + 1) + -1v Reorder the terms: 4(-4 + v) + -6 = -7(-2v + 1) + -1v (-4 * 4 + v * 4) + -6 = -7(-2v + 1) + -1v (-16 + 4v) + -6 = -7(-2v + 1) + -1v Reorder the terms: -16 + -6 + 4v = -7(-2v + 1) + -1v Combine like terms: -16 + -6 = -22 -22 + 4v = -7(-2v + 1) + -1v Reorder the terms: -22 + 4v = -7(1 + -2v) + -1v -22 + 4v = (1 * -7 + -2v * -7) + -1v -22 + 4v = (-7 + 14v) + -1v Combine like terms: 14v + -1v = 13v -22 + 4v = -7 + 13v Solving -22 + 4v = -7 + 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. -22 + 4v + -13v = -7 + 13v + -13v Combine like terms: 4v + -13v = -9v -22 + -9v = -7 + 13v + -13v Combine like terms: 13v + -13v = 0 -22 + -9v = -7 + 0 -22 + -9v = -7 Add '22' to each side of the equation. -22 + 22 + -9v = -7 + 22 Combine like terms: -22 + 22 = 0 0 + -9v = -7 + 22 -9v = -7 + 22 Combine like terms: -7 + 22 = 15 -9v = 15 Divide each side by '-9'. v = -1.666666667 Simplifying v = -1.666666667
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