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Simplifying -145 = -6(-2v + 7) + -7 Reorder the terms: -145 = -6(7 + -2v) + -7 -145 = (7 * -6 + -2v * -6) + -7 -145 = (-42 + 12v) + -7 Reorder the terms: -145 = -42 + -7 + 12v Combine like terms: -42 + -7 = -49 -145 = -49 + 12v Solving -145 = -49 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. -145 + -12v = -49 + 12v + -12v Combine like terms: 12v + -12v = 0 -145 + -12v = -49 + 0 -145 + -12v = -49 Add '145' to each side of the equation. -145 + 145 + -12v = -49 + 145 Combine like terms: -145 + 145 = 0 0 + -12v = -49 + 145 -12v = -49 + 145 Combine like terms: -49 + 145 = 96 -12v = 96 Divide each side by '-12'. v = -8 Simplifying v = -8
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