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Simplifying -3(3v + -9) + 6v = 7(v + 3) Reorder the terms: -3(-9 + 3v) + 6v = 7(v + 3) (-9 * -3 + 3v * -3) + 6v = 7(v + 3) (27 + -9v) + 6v = 7(v + 3) Combine like terms: -9v + 6v = -3v 27 + -3v = 7(v + 3) Reorder the terms: 27 + -3v = 7(3 + v) 27 + -3v = (3 * 7 + v * 7) 27 + -3v = (21 + 7v) Solving 27 + -3v = 21 + 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. 27 + -3v + -7v = 21 + 7v + -7v Combine like terms: -3v + -7v = -10v 27 + -10v = 21 + 7v + -7v Combine like terms: 7v + -7v = 0 27 + -10v = 21 + 0 27 + -10v = 21 Add '-27' to each side of the equation. 27 + -27 + -10v = 21 + -27 Combine like terms: 27 + -27 = 0 0 + -10v = 21 + -27 -10v = 21 + -27 Combine like terms: 21 + -27 = -6 -10v = -6 Divide each side by '-10'. v = 0.6 Simplifying v = 0.6
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