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Simplifying -3(7v + 5) + 7v = -5 + 3(v + 8) Reorder the terms: -3(5 + 7v) + 7v = -5 + 3(v + 8) (5 * -3 + 7v * -3) + 7v = -5 + 3(v + 8) (-15 + -21v) + 7v = -5 + 3(v + 8) Combine like terms: -21v + 7v = -14v -15 + -14v = -5 + 3(v + 8) Reorder the terms: -15 + -14v = -5 + 3(8 + v) -15 + -14v = -5 + (8 * 3 + v * 3) -15 + -14v = -5 + (24 + 3v) Combine like terms: -5 + 24 = 19 -15 + -14v = 19 + 3v Solving -15 + -14v = 19 + 3v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-3v' to each side of the equation. -15 + -14v + -3v = 19 + 3v + -3v Combine like terms: -14v + -3v = -17v -15 + -17v = 19 + 3v + -3v Combine like terms: 3v + -3v = 0 -15 + -17v = 19 + 0 -15 + -17v = 19 Add '15' to each side of the equation. -15 + 15 + -17v = 19 + 15 Combine like terms: -15 + 15 = 0 0 + -17v = 19 + 15 -17v = 19 + 15 Combine like terms: 19 + 15 = 34 -17v = 34 Divide each side by '-17'. v = -2 Simplifying v = -2
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