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Simplifying 5(4 + 13v) = -6(5 + -15v) (4 * 5 + 13v * 5) = -6(5 + -15v) (20 + 65v) = -6(5 + -15v) 20 + 65v = (5 * -6 + -15v * -6) 20 + 65v = (-30 + 90v) Solving 20 + 65v = -30 + 90v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-90v' to each side of the equation. 20 + 65v + -90v = -30 + 90v + -90v Combine like terms: 65v + -90v = -25v 20 + -25v = -30 + 90v + -90v Combine like terms: 90v + -90v = 0 20 + -25v = -30 + 0 20 + -25v = -30 Add '-20' to each side of the equation. 20 + -20 + -25v = -30 + -20 Combine like terms: 20 + -20 = 0 0 + -25v = -30 + -20 -25v = -30 + -20 Combine like terms: -30 + -20 = -50 -25v = -50 Divide each side by '-25'. v = 2 Simplifying v = 2
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