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Simplifying 4(v + 9) = 7v + 45 Reorder the terms: 4(9 + v) = 7v + 45 (9 * 4 + v * 4) = 7v + 45 (36 + 4v) = 7v + 45 Reorder the terms: 36 + 4v = 45 + 7v Solving 36 + 4v = 45 + 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. 36 + 4v + -7v = 45 + 7v + -7v Combine like terms: 4v + -7v = -3v 36 + -3v = 45 + 7v + -7v Combine like terms: 7v + -7v = 0 36 + -3v = 45 + 0 36 + -3v = 45 Add '-36' to each side of the equation. 36 + -36 + -3v = 45 + -36 Combine like terms: 36 + -36 = 0 0 + -3v = 45 + -36 -3v = 45 + -36 Combine like terms: 45 + -36 = 9 -3v = 9 Divide each side by '-3'. v = -3 Simplifying v = -3
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