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Simplifying 4(v + 1) + 5 = 6(v + -1) + 4 Reorder the terms: 4(1 + v) + 5 = 6(v + -1) + 4 (1 * 4 + v * 4) + 5 = 6(v + -1) + 4 (4 + 4v) + 5 = 6(v + -1) + 4 Reorder the terms: 4 + 5 + 4v = 6(v + -1) + 4 Combine like terms: 4 + 5 = 9 9 + 4v = 6(v + -1) + 4 Reorder the terms: 9 + 4v = 6(-1 + v) + 4 9 + 4v = (-1 * 6 + v * 6) + 4 9 + 4v = (-6 + 6v) + 4 Reorder the terms: 9 + 4v = -6 + 4 + 6v Combine like terms: -6 + 4 = -2 9 + 4v = -2 + 6v Solving 9 + 4v = -2 + 6v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-6v' to each side of the equation. 9 + 4v + -6v = -2 + 6v + -6v Combine like terms: 4v + -6v = -2v 9 + -2v = -2 + 6v + -6v Combine like terms: 6v + -6v = 0 9 + -2v = -2 + 0 9 + -2v = -2 Add '-9' to each side of the equation. 9 + -9 + -2v = -2 + -9 Combine like terms: 9 + -9 = 0 0 + -2v = -2 + -9 -2v = -2 + -9 Combine like terms: -2 + -9 = -11 -2v = -11 Divide each side by '-2'. v = 5.5 Simplifying v = 5.5
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