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Simplifying 8(4v + -1) = 11(2u + -6) Reorder the terms: 8(-1 + 4v) = 11(2u + -6) (-1 * 8 + 4v * 8) = 11(2u + -6) (-8 + 32v) = 11(2u + -6) Reorder the terms: -8 + 32v = 11(-6 + 2u) -8 + 32v = (-6 * 11 + 2u * 11) -8 + 32v = (-66 + 22u) Solving -8 + 32v = -66 + 22u Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 32v = -66 + 8 + 22u Combine like terms: -8 + 8 = 0 0 + 32v = -66 + 8 + 22u 32v = -66 + 8 + 22u Combine like terms: -66 + 8 = -58 32v = -58 + 22u Divide each side by '32'. v = -1.8125 + 0.6875u Simplifying v = -1.8125 + 0.6875u
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