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Simplifying -6(-4v + 4) + -5v = 7(v + -1) + -1 Reorder the terms: -6(4 + -4v) + -5v = 7(v + -1) + -1 (4 * -6 + -4v * -6) + -5v = 7(v + -1) + -1 (-24 + 24v) + -5v = 7(v + -1) + -1 Combine like terms: 24v + -5v = 19v -24 + 19v = 7(v + -1) + -1 Reorder the terms: -24 + 19v = 7(-1 + v) + -1 -24 + 19v = (-1 * 7 + v * 7) + -1 -24 + 19v = (-7 + 7v) + -1 Reorder the terms: -24 + 19v = -7 + -1 + 7v Combine like terms: -7 + -1 = -8 -24 + 19v = -8 + 7v Solving -24 + 19v = -8 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -24 + 19v + -7v = -8 + 7v + -7v Combine like terms: 19v + -7v = 12v -24 + 12v = -8 + 7v + -7v Combine like terms: 7v + -7v = 0 -24 + 12v = -8 + 0 -24 + 12v = -8 Add '24' to each side of the equation. -24 + 24 + 12v = -8 + 24 Combine like terms: -24 + 24 = 0 0 + 12v = -8 + 24 12v = -8 + 24 Combine like terms: -8 + 24 = 16 12v = 16 Divide each side by '12'. v = 1.333333333 Simplifying v = 1.333333333
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