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Simplifying 7(v + -3) + -1 = -7(-3v + 1) + -2v Reorder the terms: 7(-3 + v) + -1 = -7(-3v + 1) + -2v (-3 * 7 + v * 7) + -1 = -7(-3v + 1) + -2v (-21 + 7v) + -1 = -7(-3v + 1) + -2v Reorder the terms: -21 + -1 + 7v = -7(-3v + 1) + -2v Combine like terms: -21 + -1 = -22 -22 + 7v = -7(-3v + 1) + -2v Reorder the terms: -22 + 7v = -7(1 + -3v) + -2v -22 + 7v = (1 * -7 + -3v * -7) + -2v -22 + 7v = (-7 + 21v) + -2v Combine like terms: 21v + -2v = 19v -22 + 7v = -7 + 19v Solving -22 + 7v = -7 + 19v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-19v' to each side of the equation. -22 + 7v + -19v = -7 + 19v + -19v Combine like terms: 7v + -19v = -12v -22 + -12v = -7 + 19v + -19v Combine like terms: 19v + -19v = 0 -22 + -12v = -7 + 0 -22 + -12v = -7 Add '22' to each side of the equation. -22 + 22 + -12v = -7 + 22 Combine like terms: -22 + 22 = 0 0 + -12v = -7 + 22 -12v = -7 + 22 Combine like terms: -7 + 22 = 15 -12v = 15 Divide each side by '-12'. v = -1.25 Simplifying v = -1.25
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