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Simplifying 18 + -7v = 9(3v + -5) Reorder the terms: 18 + -7v = 9(-5 + 3v) 18 + -7v = (-5 * 9 + 3v * 9) 18 + -7v = (-45 + 27v) Solving 18 + -7v = -45 + 27v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-27v' to each side of the equation. 18 + -7v + -27v = -45 + 27v + -27v Combine like terms: -7v + -27v = -34v 18 + -34v = -45 + 27v + -27v Combine like terms: 27v + -27v = 0 18 + -34v = -45 + 0 18 + -34v = -45 Add '-18' to each side of the equation. 18 + -18 + -34v = -45 + -18 Combine like terms: 18 + -18 = 0 0 + -34v = -45 + -18 -34v = -45 + -18 Combine like terms: -45 + -18 = -63 -34v = -63 Divide each side by '-34'. v = 1.852941176 Simplifying v = 1.852941176
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