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Simplifying -2(v + 3) + -8v = -7v + 15 Reorder the terms: -2(3 + v) + -8v = -7v + 15 (3 * -2 + v * -2) + -8v = -7v + 15 (-6 + -2v) + -8v = -7v + 15 Combine like terms: -2v + -8v = -10v -6 + -10v = -7v + 15 Reorder the terms: -6 + -10v = 15 + -7v Solving -6 + -10v = 15 + -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. -6 + -10v + 7v = 15 + -7v + 7v Combine like terms: -10v + 7v = -3v -6 + -3v = 15 + -7v + 7v Combine like terms: -7v + 7v = 0 -6 + -3v = 15 + 0 -6 + -3v = 15 Add '6' to each side of the equation. -6 + 6 + -3v = 15 + 6 Combine like terms: -6 + 6 = 0 0 + -3v = 15 + 6 -3v = 15 + 6 Combine like terms: 15 + 6 = 21 -3v = 21 Divide each side by '-3'. v = -7 Simplifying v = -7
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