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Simplifying 7(v + -1) = 5v + 5 + -2(-7v + -3) Reorder the terms: 7(-1 + v) = 5v + 5 + -2(-7v + -3) (-1 * 7 + v * 7) = 5v + 5 + -2(-7v + -3) (-7 + 7v) = 5v + 5 + -2(-7v + -3) Reorder the terms: -7 + 7v = 5v + 5 + -2(-3 + -7v) -7 + 7v = 5v + 5 + (-3 * -2 + -7v * -2) -7 + 7v = 5v + 5 + (6 + 14v) Reorder the terms: -7 + 7v = 5 + 6 + 5v + 14v Combine like terms: 5 + 6 = 11 -7 + 7v = 11 + 5v + 14v Combine like terms: 5v + 14v = 19v -7 + 7v = 11 + 19v Solving -7 + 7v = 11 + 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 = 11 + 19v + -19v Combine like terms: 7v + -19v = -12v -7 + -12v = 11 + 19v + -19v Combine like terms: 19v + -19v = 0 -7 + -12v = 11 + 0 -7 + -12v = 11 Add '7' to each side of the equation. -7 + 7 + -12v = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -12v = 11 + 7 -12v = 11 + 7 Combine like terms: 11 + 7 = 18 -12v = 18 Divide each side by '-12'. v = -1.5 Simplifying v = -1.5
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