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Simplifying -3v + 8 = 7(v + 4) Reorder the terms: 8 + -3v = 7(v + 4) Reorder the terms: 8 + -3v = 7(4 + v) 8 + -3v = (4 * 7 + v * 7) 8 + -3v = (28 + 7v) Solving 8 + -3v = 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. 8 + -3v + -7v = 28 + 7v + -7v Combine like terms: -3v + -7v = -10v 8 + -10v = 28 + 7v + -7v Combine like terms: 7v + -7v = 0 8 + -10v = 28 + 0 8 + -10v = 28 Add '-8' to each side of the equation. 8 + -8 + -10v = 28 + -8 Combine like terms: 8 + -8 = 0 0 + -10v = 28 + -8 -10v = 28 + -8 Combine like terms: 28 + -8 = 20 -10v = 20 Divide each side by '-10'. v = -2 Simplifying v = -2
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