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Simplifying 7(v + -1) + -1 = -4(-7v + 1) + -3v Reorder the terms: 7(-1 + v) + -1 = -4(-7v + 1) + -3v (-1 * 7 + v * 7) + -1 = -4(-7v + 1) + -3v (-7 + 7v) + -1 = -4(-7v + 1) + -3v Reorder the terms: -7 + -1 + 7v = -4(-7v + 1) + -3v Combine like terms: -7 + -1 = -8 -8 + 7v = -4(-7v + 1) + -3v Reorder the terms: -8 + 7v = -4(1 + -7v) + -3v -8 + 7v = (1 * -4 + -7v * -4) + -3v -8 + 7v = (-4 + 28v) + -3v Combine like terms: 28v + -3v = 25v -8 + 7v = -4 + 25v Solving -8 + 7v = -4 + 25v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-25v' to each side of the equation. -8 + 7v + -25v = -4 + 25v + -25v Combine like terms: 7v + -25v = -18v -8 + -18v = -4 + 25v + -25v Combine like terms: 25v + -25v = 0 -8 + -18v = -4 + 0 -8 + -18v = -4 Add '8' to each side of the equation. -8 + 8 + -18v = -4 + 8 Combine like terms: -8 + 8 = 0 0 + -18v = -4 + 8 -18v = -4 + 8 Combine like terms: -4 + 8 = 4 -18v = 4 Divide each side by '-18'. v = -0.2222222222 Simplifying v = -0.2222222222
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