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Simplifying 6v + 28 = -8(4 + -2v) Reorder the terms: 28 + 6v = -8(4 + -2v) 28 + 6v = (4 * -8 + -2v * -8) 28 + 6v = (-32 + 16v) Solving 28 + 6v = -32 + 16v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-16v' to each side of the equation. 28 + 6v + -16v = -32 + 16v + -16v Combine like terms: 6v + -16v = -10v 28 + -10v = -32 + 16v + -16v Combine like terms: 16v + -16v = 0 28 + -10v = -32 + 0 28 + -10v = -32 Add '-28' to each side of the equation. 28 + -28 + -10v = -32 + -28 Combine like terms: 28 + -28 = 0 0 + -10v = -32 + -28 -10v = -32 + -28 Combine like terms: -32 + -28 = -60 -10v = -60 Divide each side by '-10'. v = 6 Simplifying v = 6
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