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Simplifying 6v + 28 = 8(v + -4) Reorder the terms: 28 + 6v = 8(v + -4) Reorder the terms: 28 + 6v = 8(-4 + v) 28 + 6v = (-4 * 8 + v * 8) 28 + 6v = (-32 + 8v) Solving 28 + 6v = -32 + 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. 28 + 6v + -8v = -32 + 8v + -8v Combine like terms: 6v + -8v = -2v 28 + -2v = -32 + 8v + -8v Combine like terms: 8v + -8v = 0 28 + -2v = -32 + 0 28 + -2v = -32 Add '-28' to each side of the equation. 28 + -28 + -2v = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -2v = -32 + -28 -2v = -32 + -28 Combine like terms: -32 + -28 = -60 -2v = -60 Divide each side by '-2'. v = 30 Simplifying v = 30
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