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Simplifying 288 = -6(-6v + -4) + -3v Reorder the terms: 288 = -6(-4 + -6v) + -3v 288 = (-4 * -6 + -6v * -6) + -3v 288 = (24 + 36v) + -3v Combine like terms: 36v + -3v = 33v 288 = 24 + 33v Solving 288 = 24 + 33v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-33v' to each side of the equation. 288 + -33v = 24 + 33v + -33v Combine like terms: 33v + -33v = 0 288 + -33v = 24 + 0 288 + -33v = 24 Add '-288' to each side of the equation. 288 + -288 + -33v = 24 + -288 Combine like terms: 288 + -288 = 0 0 + -33v = 24 + -288 -33v = 24 + -288 Combine like terms: 24 + -288 = -264 -33v = -264 Divide each side by '-33'. v = 8 Simplifying v = 8
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