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Simplifying -8v + 7 = -3(v + 6) Reorder the terms: 7 + -8v = -3(v + 6) Reorder the terms: 7 + -8v = -3(6 + v) 7 + -8v = (6 * -3 + v * -3) 7 + -8v = (-18 + -3v) Solving 7 + -8v = -18 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 7 + -8v + 3v = -18 + -3v + 3v Combine like terms: -8v + 3v = -5v 7 + -5v = -18 + -3v + 3v Combine like terms: -3v + 3v = 0 7 + -5v = -18 + 0 7 + -5v = -18 Add '-7' to each side of the equation. 7 + -7 + -5v = -18 + -7 Combine like terms: 7 + -7 = 0 0 + -5v = -18 + -7 -5v = -18 + -7 Combine like terms: -18 + -7 = -25 -5v = -25 Divide each side by '-5'. v = 5 Simplifying v = 5
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