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Simplifying -6(3v + 3) + -7v = 2(v + -9) + -3 Reorder the terms: -6(3 + 3v) + -7v = 2(v + -9) + -3 (3 * -6 + 3v * -6) + -7v = 2(v + -9) + -3 (-18 + -18v) + -7v = 2(v + -9) + -3 Combine like terms: -18v + -7v = -25v -18 + -25v = 2(v + -9) + -3 Reorder the terms: -18 + -25v = 2(-9 + v) + -3 -18 + -25v = (-9 * 2 + v * 2) + -3 -18 + -25v = (-18 + 2v) + -3 Reorder the terms: -18 + -25v = -18 + -3 + 2v Combine like terms: -18 + -3 = -21 -18 + -25v = -21 + 2v Solving -18 + -25v = -21 + 2v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-2v' to each side of the equation. -18 + -25v + -2v = -21 + 2v + -2v Combine like terms: -25v + -2v = -27v -18 + -27v = -21 + 2v + -2v Combine like terms: 2v + -2v = 0 -18 + -27v = -21 + 0 -18 + -27v = -21 Add '18' to each side of the equation. -18 + 18 + -27v = -21 + 18 Combine like terms: -18 + 18 = 0 0 + -27v = -21 + 18 -27v = -21 + 18 Combine like terms: -21 + 18 = -3 -27v = -3 Divide each side by '-27'. v = 0.1111111111 Simplifying v = 0.1111111111
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