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Simplifying -16(10v + -90) = 3(28v + 71) Reorder the terms: -16(-90 + 10v) = 3(28v + 71) (-90 * -16 + 10v * -16) = 3(28v + 71) (1440 + -160v) = 3(28v + 71) Reorder the terms: 1440 + -160v = 3(71 + 28v) 1440 + -160v = (71 * 3 + 28v * 3) 1440 + -160v = (213 + 84v) Solving 1440 + -160v = 213 + 84v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-84v' to each side of the equation. 1440 + -160v + -84v = 213 + 84v + -84v Combine like terms: -160v + -84v = -244v 1440 + -244v = 213 + 84v + -84v Combine like terms: 84v + -84v = 0 1440 + -244v = 213 + 0 1440 + -244v = 213 Add '-1440' to each side of the equation. 1440 + -1440 + -244v = 213 + -1440 Combine like terms: 1440 + -1440 = 0 0 + -244v = 213 + -1440 -244v = 213 + -1440 Combine like terms: 213 + -1440 = -1227 -244v = -1227 Divide each side by '-244'. v = 5.028688525 Simplifying v = 5.028688525
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