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Simplifying 6(7v + 4) = -35 + -3v Reorder the terms: 6(4 + 7v) = -35 + -3v (4 * 6 + 7v * 6) = -35 + -3v (24 + 42v) = -35 + -3v Solving 24 + 42v = -35 + -3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '3v' to each side of the equation. 24 + 42v + 3v = -35 + -3v + 3v Combine like terms: 42v + 3v = 45v 24 + 45v = -35 + -3v + 3v Combine like terms: -3v + 3v = 0 24 + 45v = -35 + 0 24 + 45v = -35 Add '-24' to each side of the equation. 24 + -24 + 45v = -35 + -24 Combine like terms: 24 + -24 = 0 0 + 45v = -35 + -24 45v = -35 + -24 Combine like terms: -35 + -24 = -59 45v = -59 Divide each side by '45'. v = -1.311111111 Simplifying v = -1.311111111
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