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Simplifying 8(4v + -1) + -120 = 11(2v + -6) Reorder the terms: 8(-1 + 4v) + -120 = 11(2v + -6) (-1 * 8 + 4v * 8) + -120 = 11(2v + -6) (-8 + 32v) + -120 = 11(2v + -6) Reorder the terms: -8 + -120 + 32v = 11(2v + -6) Combine like terms: -8 + -120 = -128 -128 + 32v = 11(2v + -6) Reorder the terms: -128 + 32v = 11(-6 + 2v) -128 + 32v = (-6 * 11 + 2v * 11) -128 + 32v = (-66 + 22v) Solving -128 + 32v = -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. -128 + 32v + -22v = -66 + 22v + -22v Combine like terms: 32v + -22v = 10v -128 + 10v = -66 + 22v + -22v Combine like terms: 22v + -22v = 0 -128 + 10v = -66 + 0 -128 + 10v = -66 Add '128' to each side of the equation. -128 + 128 + 10v = -66 + 128 Combine like terms: -128 + 128 = 0 0 + 10v = -66 + 128 10v = -66 + 128 Combine like terms: -66 + 128 = 62 10v = 62 Divide each side by '10'. v = 6.2 Simplifying v = 6.2
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