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Simplifying 4(v + 1) + 5 = 6(v + -1) + v Reorder the terms: 4(1 + v) + 5 = 6(v + -1) + v (1 * 4 + v * 4) + 5 = 6(v + -1) + v (4 + 4v) + 5 = 6(v + -1) + v Reorder the terms: 4 + 5 + 4v = 6(v + -1) + v Combine like terms: 4 + 5 = 9 9 + 4v = 6(v + -1) + v Reorder the terms: 9 + 4v = 6(-1 + v) + v 9 + 4v = (-1 * 6 + v * 6) + v 9 + 4v = (-6 + 6v) + v Combine like terms: 6v + v = 7v 9 + 4v = -6 + 7v Solving 9 + 4v = -6 + 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 + 4v + -7v = -6 + 7v + -7v Combine like terms: 4v + -7v = -3v 9 + -3v = -6 + 7v + -7v Combine like terms: 7v + -7v = 0 9 + -3v = -6 + 0 9 + -3v = -6 Add '-9' to each side of the equation. 9 + -9 + -3v = -6 + -9 Combine like terms: 9 + -9 = 0 0 + -3v = -6 + -9 -3v = -6 + -9 Combine like terms: -6 + -9 = -15 -3v = -15 Divide each side by '-3'. v = 5 Simplifying v = 5
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