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Simplifying -7(v + -9) = -5v + 47 Reorder the terms: -7(-9 + v) = -5v + 47 (-9 * -7 + v * -7) = -5v + 47 (63 + -7v) = -5v + 47 Reorder the terms: 63 + -7v = 47 + -5v Solving 63 + -7v = 47 + -5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '5v' to each side of the equation. 63 + -7v + 5v = 47 + -5v + 5v Combine like terms: -7v + 5v = -2v 63 + -2v = 47 + -5v + 5v Combine like terms: -5v + 5v = 0 63 + -2v = 47 + 0 63 + -2v = 47 Add '-63' to each side of the equation. 63 + -63 + -2v = 47 + -63 Combine like terms: 63 + -63 = 0 0 + -2v = 47 + -63 -2v = 47 + -63 Combine like terms: 47 + -63 = -16 -2v = -16 Divide each side by '-2'. v = 8 Simplifying v = 8
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