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Simplifying 4(v + 6) = 7v + 48 Reorder the terms: 4(6 + v) = 7v + 48 (6 * 4 + v * 4) = 7v + 48 (24 + 4v) = 7v + 48 Reorder the terms: 24 + 4v = 48 + 7v Solving 24 + 4v = 48 + 7v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-7v' to each side of the equation. 24 + 4v + -7v = 48 + 7v + -7v Combine like terms: 4v + -7v = -3v 24 + -3v = 48 + 7v + -7v Combine like terms: 7v + -7v = 0 24 + -3v = 48 + 0 24 + -3v = 48 Add '-24' to each side of the equation. 24 + -24 + -3v = 48 + -24 Combine like terms: 24 + -24 = 0 0 + -3v = 48 + -24 -3v = 48 + -24 Combine like terms: 48 + -24 = 24 -3v = 24 Divide each side by '-3'. v = -8 Simplifying v = -8
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