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Simplifying -3v + 6 = -1(v + 3) + -7 Reorder the terms: 6 + -3v = -1(v + 3) + -7 Reorder the terms: 6 + -3v = -1(3 + v) + -7 6 + -3v = (3 * -1 + v * -1) + -7 6 + -3v = (-3 + -1v) + -7 Reorder the terms: 6 + -3v = -3 + -7 + -1v Combine like terms: -3 + -7 = -10 6 + -3v = -10 + -1v Solving 6 + -3v = -10 + -1v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add 'v' to each side of the equation. 6 + -3v + v = -10 + -1v + v Combine like terms: -3v + v = -2v 6 + -2v = -10 + -1v + v Combine like terms: -1v + v = 0 6 + -2v = -10 + 0 6 + -2v = -10 Add '-6' to each side of the equation. 6 + -6 + -2v = -10 + -6 Combine like terms: 6 + -6 = 0 0 + -2v = -10 + -6 -2v = -10 + -6 Combine like terms: -10 + -6 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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