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Simplifying -2(8v + -8) + 3v = 2(v + 3) Reorder the terms: -2(-8 + 8v) + 3v = 2(v + 3) (-8 * -2 + 8v * -2) + 3v = 2(v + 3) (16 + -16v) + 3v = 2(v + 3) Combine like terms: -16v + 3v = -13v 16 + -13v = 2(v + 3) Reorder the terms: 16 + -13v = 2(3 + v) 16 + -13v = (3 * 2 + v * 2) 16 + -13v = (6 + 2v) Solving 16 + -13v = 6 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. 16 + -13v + -2v = 6 + 2v + -2v Combine like terms: -13v + -2v = -15v 16 + -15v = 6 + 2v + -2v Combine like terms: 2v + -2v = 0 16 + -15v = 6 + 0 16 + -15v = 6 Add '-16' to each side of the equation. 16 + -16 + -15v = 6 + -16 Combine like terms: 16 + -16 = 0 0 + -15v = 6 + -16 -15v = 6 + -16 Combine like terms: 6 + -16 = -10 -15v = -10 Divide each side by '-15'. v = 0.6666666667 Simplifying v = 0.6666666667
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