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Simplifying -7v + 28 = -3(v + 6) Reorder the terms: 28 + -7v = -3(v + 6) Reorder the terms: 28 + -7v = -3(6 + v) 28 + -7v = (6 * -3 + v * -3) 28 + -7v = (-18 + -3v) Solving 28 + -7v = -18 + -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. 28 + -7v + 3v = -18 + -3v + 3v Combine like terms: -7v + 3v = -4v 28 + -4v = -18 + -3v + 3v Combine like terms: -3v + 3v = 0 28 + -4v = -18 + 0 28 + -4v = -18 Add '-28' to each side of the equation. 28 + -28 + -4v = -18 + -28 Combine like terms: 28 + -28 = 0 0 + -4v = -18 + -28 -4v = -18 + -28 Combine like terms: -18 + -28 = -46 -4v = -46 Divide each side by '-4'. v = 11.5 Simplifying v = 11.5
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