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Simplifying 8(2v + -6) = 7(v + 6) Reorder the terms: 8(-6 + 2v) = 7(v + 6) (-6 * 8 + 2v * 8) = 7(v + 6) (-48 + 16v) = 7(v + 6) Reorder the terms: -48 + 16v = 7(6 + v) -48 + 16v = (6 * 7 + v * 7) -48 + 16v = (42 + 7v) Solving -48 + 16v = 42 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -48 + 16v + -7v = 42 + 7v + -7v Combine like terms: 16v + -7v = 9v -48 + 9v = 42 + 7v + -7v Combine like terms: 7v + -7v = 0 -48 + 9v = 42 + 0 -48 + 9v = 42 Add '48' to each side of the equation. -48 + 48 + 9v = 42 + 48 Combine like terms: -48 + 48 = 0 0 + 9v = 42 + 48 9v = 42 + 48 Combine like terms: 42 + 48 = 90 9v = 90 Divide each side by '9'. v = 10 Simplifying v = 10
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