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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 = -10v 28 + -10v = 18 + 3v + -3v Combine like terms: 3v + -3v = 0 28 + -10v = 18 + 0 28 + -10v = 18 Add '-28' to each side of the equation. 28 + -28 + -10v = 18 + -28 Combine like terms: 28 + -28 = 0 0 + -10v = 18 + -28 -10v = 18 + -28 Combine like terms: 18 + -28 = -10 -10v = -10 Divide each side by '-10'. v = 1 Simplifying v = 1
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