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