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Simplifying 2(2v + -6) + 2 = 6 + -8(2v + -3) Reorder the terms: 2(-6 + 2v) + 2 = 6 + -8(2v + -3) (-6 * 2 + 2v * 2) + 2 = 6 + -8(2v + -3) (-12 + 4v) + 2 = 6 + -8(2v + -3) Reorder the terms: -12 + 2 + 4v = 6 + -8(2v + -3) Combine like terms: -12 + 2 = -10 -10 + 4v = 6 + -8(2v + -3) Reorder the terms: -10 + 4v = 6 + -8(-3 + 2v) -10 + 4v = 6 + (-3 * -8 + 2v * -8) -10 + 4v = 6 + (24 + -16v) Combine like terms: 6 + 24 = 30 -10 + 4v = 30 + -16v Solving -10 + 4v = 30 + -16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '16v' to each side of the equation. -10 + 4v + 16v = 30 + -16v + 16v Combine like terms: 4v + 16v = 20v -10 + 20v = 30 + -16v + 16v Combine like terms: -16v + 16v = 0 -10 + 20v = 30 + 0 -10 + 20v = 30 Add '10' to each side of the equation. -10 + 10 + 20v = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 20v = 30 + 10 20v = 30 + 10 Combine like terms: 30 + 10 = 40 20v = 40 Divide each side by '20'. v = 2 Simplifying v = 2
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