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Simplifying -3(v + 3) = 7v + -5 + 2(3v + 7) Reorder the terms: -3(3 + v) = 7v + -5 + 2(3v + 7) (3 * -3 + v * -3) = 7v + -5 + 2(3v + 7) (-9 + -3v) = 7v + -5 + 2(3v + 7) Reorder the terms: -9 + -3v = 7v + -5 + 2(7 + 3v) -9 + -3v = 7v + -5 + (7 * 2 + 3v * 2) -9 + -3v = 7v + -5 + (14 + 6v) Reorder the terms: -9 + -3v = -5 + 14 + 7v + 6v Combine like terms: -5 + 14 = 9 -9 + -3v = 9 + 7v + 6v Combine like terms: 7v + 6v = 13v -9 + -3v = 9 + 13v Solving -9 + -3v = 9 + 13v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-13v' to each side of the equation. -9 + -3v + -13v = 9 + 13v + -13v Combine like terms: -3v + -13v = -16v -9 + -16v = 9 + 13v + -13v Combine like terms: 13v + -13v = 0 -9 + -16v = 9 + 0 -9 + -16v = 9 Add '9' to each side of the equation. -9 + 9 + -16v = 9 + 9 Combine like terms: -9 + 9 = 0 0 + -16v = 9 + 9 -16v = 9 + 9 Combine like terms: 9 + 9 = 18 -16v = 18 Divide each side by '-16'. v = -1.125 Simplifying v = -1.125
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