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Simplifying 7(v + -1) = 7v + 5 + -4(-3v + -1) Reorder the terms: 7(-1 + v) = 7v + 5 + -4(-3v + -1) (-1 * 7 + v * 7) = 7v + 5 + -4(-3v + -1) (-7 + 7v) = 7v + 5 + -4(-3v + -1) Reorder the terms: -7 + 7v = 7v + 5 + -4(-1 + -3v) -7 + 7v = 7v + 5 + (-1 * -4 + -3v * -4) -7 + 7v = 7v + 5 + (4 + 12v) Reorder the terms: -7 + 7v = 5 + 4 + 7v + 12v Combine like terms: 5 + 4 = 9 -7 + 7v = 9 + 7v + 12v Combine like terms: 7v + 12v = 19v -7 + 7v = 9 + 19v Solving -7 + 7v = 9 + 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. -7 + 7v + -19v = 9 + 19v + -19v Combine like terms: 7v + -19v = -12v -7 + -12v = 9 + 19v + -19v Combine like terms: 19v + -19v = 0 -7 + -12v = 9 + 0 -7 + -12v = 9 Add '7' to each side of the equation. -7 + 7 + -12v = 9 + 7 Combine like terms: -7 + 7 = 0 0 + -12v = 9 + 7 -12v = 9 + 7 Combine like terms: 9 + 7 = 16 -12v = 16 Divide each side by '-12'. v = -1.333333333 Simplifying v = -1.333333333
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