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Simplifying 243 = 7(5v + -3) + -2v Reorder the terms: 243 = 7(-3 + 5v) + -2v 243 = (-3 * 7 + 5v * 7) + -2v 243 = (-21 + 35v) + -2v Combine like terms: 35v + -2v = 33v 243 = -21 + 33v Solving 243 = -21 + 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. 243 + -33v = -21 + 33v + -33v Combine like terms: 33v + -33v = 0 243 + -33v = -21 + 0 243 + -33v = -21 Add '-243' to each side of the equation. 243 + -243 + -33v = -21 + -243 Combine like terms: 243 + -243 = 0 0 + -33v = -21 + -243 -33v = -21 + -243 Combine like terms: -21 + -243 = -264 -33v = -264 Divide each side by '-33'. v = 8 Simplifying v = 8
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