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Simplifying -16(10v + -90) = 32(8v + 71) Reorder the terms: -16(-90 + 10v) = 32(8v + 71) (-90 * -16 + 10v * -16) = 32(8v + 71) (1440 + -160v) = 32(8v + 71) Reorder the terms: 1440 + -160v = 32(71 + 8v) 1440 + -160v = (71 * 32 + 8v * 32) 1440 + -160v = (2272 + 256v) Solving 1440 + -160v = 2272 + 256v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-256v' to each side of the equation. 1440 + -160v + -256v = 2272 + 256v + -256v Combine like terms: -160v + -256v = -416v 1440 + -416v = 2272 + 256v + -256v Combine like terms: 256v + -256v = 0 1440 + -416v = 2272 + 0 1440 + -416v = 2272 Add '-1440' to each side of the equation. 1440 + -1440 + -416v = 2272 + -1440 Combine like terms: 1440 + -1440 = 0 0 + -416v = 2272 + -1440 -416v = 2272 + -1440 Combine like terms: 2272 + -1440 = 832 -416v = 832 Divide each side by '-416'. v = -2 Simplifying v = -2
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