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Simplifying 2v + 45 = 5(v + 6) Reorder the terms: 45 + 2v = 5(v + 6) Reorder the terms: 45 + 2v = 5(6 + v) 45 + 2v = (6 * 5 + v * 5) 45 + 2v = (30 + 5v) Solving 45 + 2v = 30 + 5v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-5v' to each side of the equation. 45 + 2v + -5v = 30 + 5v + -5v Combine like terms: 2v + -5v = -3v 45 + -3v = 30 + 5v + -5v Combine like terms: 5v + -5v = 0 45 + -3v = 30 + 0 45 + -3v = 30 Add '-45' to each side of the equation. 45 + -45 + -3v = 30 + -45 Combine like terms: 45 + -45 = 0 0 + -3v = 30 + -45 -3v = 30 + -45 Combine like terms: 30 + -45 = -15 -3v = -15 Divide each side by '-3'. v = 5 Simplifying v = 5
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