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Simplifying 8(4v + -1) + -12v = 11(2v + -6) Reorder the terms: 8(-1 + 4v) + -12v = 11(2v + -6) (-1 * 8 + 4v * 8) + -12v = 11(2v + -6) (-8 + 32v) + -12v = 11(2v + -6) Combine like terms: 32v + -12v = 20v -8 + 20v = 11(2v + -6) Reorder the terms: -8 + 20v = 11(-6 + 2v) -8 + 20v = (-6 * 11 + 2v * 11) -8 + 20v = (-66 + 22v) Solving -8 + 20v = -66 + 22v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-22v' to each side of the equation. -8 + 20v + -22v = -66 + 22v + -22v Combine like terms: 20v + -22v = -2v -8 + -2v = -66 + 22v + -22v Combine like terms: 22v + -22v = 0 -8 + -2v = -66 + 0 -8 + -2v = -66 Add '8' to each side of the equation. -8 + 8 + -2v = -66 + 8 Combine like terms: -8 + 8 = 0 0 + -2v = -66 + 8 -2v = -66 + 8 Combine like terms: -66 + 8 = -58 -2v = -58 Divide each side by '-2'. v = 29 Simplifying v = 29
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