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Simplifying -6(v + 3) + 4v + 5 = 7v + 12 Reorder the terms: -6(3 + v) + 4v + 5 = 7v + 12 (3 * -6 + v * -6) + 4v + 5 = 7v + 12 (-18 + -6v) + 4v + 5 = 7v + 12 Reorder the terms: -18 + 5 + -6v + 4v = 7v + 12 Combine like terms: -18 + 5 = -13 -13 + -6v + 4v = 7v + 12 Combine like terms: -6v + 4v = -2v -13 + -2v = 7v + 12 Reorder the terms: -13 + -2v = 12 + 7v Solving -13 + -2v = 12 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. -13 + -2v + -7v = 12 + 7v + -7v Combine like terms: -2v + -7v = -9v -13 + -9v = 12 + 7v + -7v Combine like terms: 7v + -7v = 0 -13 + -9v = 12 + 0 -13 + -9v = 12 Add '13' to each side of the equation. -13 + 13 + -9v = 12 + 13 Combine like terms: -13 + 13 = 0 0 + -9v = 12 + 13 -9v = 12 + 13 Combine like terms: 12 + 13 = 25 -9v = 25 Divide each side by '-9'. v = -2.777777778 Simplifying v = -2.777777778
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