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Simplifying -16(10v + -90) = 328v + 71 Reorder the terms: -16(-90 + 10v) = 328v + 71 (-90 * -16 + 10v * -16) = 328v + 71 (1440 + -160v) = 328v + 71 Reorder the terms: 1440 + -160v = 71 + 328v Solving 1440 + -160v = 71 + 328v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-328v' to each side of the equation. 1440 + -160v + -328v = 71 + 328v + -328v Combine like terms: -160v + -328v = -488v 1440 + -488v = 71 + 328v + -328v Combine like terms: 328v + -328v = 0 1440 + -488v = 71 + 0 1440 + -488v = 71 Add '-1440' to each side of the equation. 1440 + -1440 + -488v = 71 + -1440 Combine like terms: 1440 + -1440 = 0 0 + -488v = 71 + -1440 -488v = 71 + -1440 Combine like terms: 71 + -1440 = -1369 -488v = -1369 Divide each side by '-488'. v = 2.805327869 Simplifying v = 2.805327869
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