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Simplifying 7(v + 9) = 4v + 45 Reorder the terms: 7(9 + v) = 4v + 45 (9 * 7 + v * 7) = 4v + 45 (63 + 7v) = 4v + 45 Reorder the terms: 63 + 7v = 45 + 4v Solving 63 + 7v = 45 + 4v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-4v' to each side of the equation. 63 + 7v + -4v = 45 + 4v + -4v Combine like terms: 7v + -4v = 3v 63 + 3v = 45 + 4v + -4v Combine like terms: 4v + -4v = 0 63 + 3v = 45 + 0 63 + 3v = 45 Add '-63' to each side of the equation. 63 + -63 + 3v = 45 + -63 Combine like terms: 63 + -63 = 0 0 + 3v = 45 + -63 3v = 45 + -63 Combine like terms: 45 + -63 = -18 3v = -18 Divide each side by '3'. v = -6 Simplifying v = -6
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