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