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