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Simplifying -7(-3 + 2) + -6v = 6(v + -3) + -8 Combine like terms: -3 + 2 = -1 -7(-1) + -6v = 6(v + -3) + -8 Multiply -7 * -1 7 + -6v = 6(v + -3) + -8 Reorder the terms: 7 + -6v = 6(-3 + v) + -8 7 + -6v = (-3 * 6 + v * 6) + -8 7 + -6v = (-18 + 6v) + -8 Reorder the terms: 7 + -6v = -18 + -8 + 6v Combine like terms: -18 + -8 = -26 7 + -6v = -26 + 6v Solving 7 + -6v = -26 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 7 + -6v + -6v = -26 + 6v + -6v Combine like terms: -6v + -6v = -12v 7 + -12v = -26 + 6v + -6v Combine like terms: 6v + -6v = 0 7 + -12v = -26 + 0 7 + -12v = -26 Add '-7' to each side of the equation. 7 + -7 + -12v = -26 + -7 Combine like terms: 7 + -7 = 0 0 + -12v = -26 + -7 -12v = -26 + -7 Combine like terms: -26 + -7 = -33 -12v = -33 Divide each side by '-12'. v = 2.75 Simplifying v = 2.75
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