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Simplifying 4(v + 7) = 6v + 48 Reorder the terms: 4(7 + v) = 6v + 48 (7 * 4 + v * 4) = 6v + 48 (28 + 4v) = 6v + 48 Reorder the terms: 28 + 4v = 48 + 6v Solving 28 + 4v = 48 + 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. 28 + 4v + -6v = 48 + 6v + -6v Combine like terms: 4v + -6v = -2v 28 + -2v = 48 + 6v + -6v Combine like terms: 6v + -6v = 0 28 + -2v = 48 + 0 28 + -2v = 48 Add '-28' to each side of the equation. 28 + -28 + -2v = 48 + -28 Combine like terms: 28 + -28 = 0 0 + -2v = 48 + -28 -2v = 48 + -28 Combine like terms: 48 + -28 = 20 -2v = 20 Divide each side by '-2'. v = -10 Simplifying v = -10
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