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Simplifying 2(v + 9) = 7v + 28 Reorder the terms: 2(9 + v) = 7v + 28 (9 * 2 + v * 2) = 7v + 28 (18 + 2v) = 7v + 28 Reorder the terms: 18 + 2v = 28 + 7v Solving 18 + 2v = 28 + 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. 18 + 2v + -7v = 28 + 7v + -7v Combine like terms: 2v + -7v = -5v 18 + -5v = 28 + 7v + -7v Combine like terms: 7v + -7v = 0 18 + -5v = 28 + 0 18 + -5v = 28 Add '-18' to each side of the equation. 18 + -18 + -5v = 28 + -18 Combine like terms: 18 + -18 = 0 0 + -5v = 28 + -18 -5v = 28 + -18 Combine like terms: 28 + -18 = 10 -5v = 10 Divide each side by '-5'. v = -2 Simplifying v = -2
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