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Simplifying 3(v + 4) = 7v + 48 Reorder the terms: 3(4 + v) = 7v + 48 (4 * 3 + v * 3) = 7v + 48 (12 + 3v) = 7v + 48 Reorder the terms: 12 + 3v = 48 + 7v Solving 12 + 3v = 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. 12 + 3v + -7v = 48 + 7v + -7v Combine like terms: 3v + -7v = -4v 12 + -4v = 48 + 7v + -7v Combine like terms: 7v + -7v = 0 12 + -4v = 48 + 0 12 + -4v = 48 Add '-12' to each side of the equation. 12 + -12 + -4v = 48 + -12 Combine like terms: 12 + -12 = 0 0 + -4v = 48 + -12 -4v = 48 + -12 Combine like terms: 48 + -12 = 36 -4v = 36 Divide each side by '-4'. v = -9 Simplifying v = -9
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