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Simplifying -3(14v + -20) = -17v + -20v + -15 Reorder the terms: -3(-20 + 14v) = -17v + -20v + -15 (-20 * -3 + 14v * -3) = -17v + -20v + -15 (60 + -42v) = -17v + -20v + -15 Reorder the terms: 60 + -42v = -15 + -17v + -20v Combine like terms: -17v + -20v = -37v 60 + -42v = -15 + -37v Solving 60 + -42v = -15 + -37v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '37v' to each side of the equation. 60 + -42v + 37v = -15 + -37v + 37v Combine like terms: -42v + 37v = -5v 60 + -5v = -15 + -37v + 37v Combine like terms: -37v + 37v = 0 60 + -5v = -15 + 0 60 + -5v = -15 Add '-60' to each side of the equation. 60 + -60 + -5v = -15 + -60 Combine like terms: 60 + -60 = 0 0 + -5v = -15 + -60 -5v = -15 + -60 Combine like terms: -15 + -60 = -75 -5v = -75 Divide each side by '-5'. v = 15 Simplifying v = 15
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