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Simplifying 6(4 + -7v) = 24 + 3v (4 * 6 + -7v * 6) = 24 + 3v (24 + -42v) = 24 + 3v Add '-24' to each side of the equation. 24 + -24 + -42v = 24 + -24 + 3v Combine like terms: 24 + -24 = 0 0 + -42v = 24 + -24 + 3v -42v = 24 + -24 + 3v Combine like terms: 24 + -24 = 0 -42v = 0 + 3v -42v = 3v Solving -42v = 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. -42v + -3v = 3v + -3v Combine like terms: -42v + -3v = -45v -45v = 3v + -3v Combine like terms: 3v + -3v = 0 -45v = 0 Divide each side by '-45'. v = 0 Simplifying v = 0
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