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Simplifying 7v + 48 = 9(v + 4) Reorder the terms: 48 + 7v = 9(v + 4) Reorder the terms: 48 + 7v = 9(4 + v) 48 + 7v = (4 * 9 + v * 9) 48 + 7v = (36 + 9v) Solving 48 + 7v = 36 + 9v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-9v' to each side of the equation. 48 + 7v + -9v = 36 + 9v + -9v Combine like terms: 7v + -9v = -2v 48 + -2v = 36 + 9v + -9v Combine like terms: 9v + -9v = 0 48 + -2v = 36 + 0 48 + -2v = 36 Add '-48' to each side of the equation. 48 + -48 + -2v = 36 + -48 Combine like terms: 48 + -48 = 0 0 + -2v = 36 + -48 -2v = 36 + -48 Combine like terms: 36 + -48 = -12 -2v = -12 Divide each side by '-2'. v = 6 Simplifying v = 6
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