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Simplifying 3(v + 3) = 7v + 48 Reorder the terms: 3(3 + v) = 7v + 48 (3 * 3 + v * 3) = 7v + 48 (9 + 3v) = 7v + 48 Reorder the terms: 9 + 3v = 48 + 7v Solving 9 + 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. 9 + 3v + -7v = 48 + 7v + -7v Combine like terms: 3v + -7v = -4v 9 + -4v = 48 + 7v + -7v Combine like terms: 7v + -7v = 0 9 + -4v = 48 + 0 9 + -4v = 48 Add '-9' to each side of the equation. 9 + -9 + -4v = 48 + -9 Combine like terms: 9 + -9 = 0 0 + -4v = 48 + -9 -4v = 48 + -9 Combine like terms: 48 + -9 = 39 -4v = 39 Divide each side by '-4'. v = -9.75 Simplifying v = -9.75
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