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Simplifying -7(v + -9) = 8v + 3 Reorder the terms: -7(-9 + v) = 8v + 3 (-9 * -7 + v * -7) = 8v + 3 (63 + -7v) = 8v + 3 Reorder the terms: 63 + -7v = 3 + 8v Solving 63 + -7v = 3 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 63 + -7v + -8v = 3 + 8v + -8v Combine like terms: -7v + -8v = -15v 63 + -15v = 3 + 8v + -8v Combine like terms: 8v + -8v = 0 63 + -15v = 3 + 0 63 + -15v = 3 Add '-63' to each side of the equation. 63 + -63 + -15v = 3 + -63 Combine like terms: 63 + -63 = 0 0 + -15v = 3 + -63 -15v = 3 + -63 Combine like terms: 3 + -63 = -60 -15v = -60 Divide each side by '-15'. v = 4 Simplifying v = 4
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