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Simplifying -3(v + -9) = 7v + 47 Reorder the terms: -3(-9 + v) = 7v + 47 (-9 * -3 + v * -3) = 7v + 47 (27 + -3v) = 7v + 47 Reorder the terms: 27 + -3v = 47 + 7v Solving 27 + -3v = 47 + 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 = 47 + 7v + -7v Combine like terms: -3v + -7v = -10v 27 + -10v = 47 + 7v + -7v Combine like terms: 7v + -7v = 0 27 + -10v = 47 + 0 27 + -10v = 47 Add '-27' to each side of the equation. 27 + -27 + -10v = 47 + -27 Combine like terms: 27 + -27 = 0 0 + -10v = 47 + -27 -10v = 47 + -27 Combine like terms: 47 + -27 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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