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Simplifying 6v + -45 = 9(v + -3) Reorder the terms: -45 + 6v = 9(v + -3) Reorder the terms: -45 + 6v = 9(-3 + v) -45 + 6v = (-3 * 9 + v * 9) -45 + 6v = (-27 + 9v) Solving -45 + 6v = -27 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. -45 + 6v + -9v = -27 + 9v + -9v Combine like terms: 6v + -9v = -3v -45 + -3v = -27 + 9v + -9v Combine like terms: 9v + -9v = 0 -45 + -3v = -27 + 0 -45 + -3v = -27 Add '45' to each side of the equation. -45 + 45 + -3v = -27 + 45 Combine like terms: -45 + 45 = 0 0 + -3v = -27 + 45 -3v = -27 + 45 Combine like terms: -27 + 45 = 18 -3v = 18 Divide each side by '-3'. v = -6 Simplifying v = -6
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