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Simplifying 11 + -1(v + 2) + -3v = 2(4v + 4) + -15 Reorder the terms: 11 + -1(2 + v) + -3v = 2(4v + 4) + -15 11 + (2 * -1 + v * -1) + -3v = 2(4v + 4) + -15 11 + (-2 + -1v) + -3v = 2(4v + 4) + -15 Combine like terms: 11 + -2 = 9 9 + -1v + -3v = 2(4v + 4) + -15 Combine like terms: -1v + -3v = -4v 9 + -4v = 2(4v + 4) + -15 Reorder the terms: 9 + -4v = 2(4 + 4v) + -15 9 + -4v = (4 * 2 + 4v * 2) + -15 9 + -4v = (8 + 8v) + -15 Reorder the terms: 9 + -4v = 8 + -15 + 8v Combine like terms: 8 + -15 = -7 9 + -4v = -7 + 8v Solving 9 + -4v = -7 + 8v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-8v' to each side of the equation. 9 + -4v + -8v = -7 + 8v + -8v Combine like terms: -4v + -8v = -12v 9 + -12v = -7 + 8v + -8v Combine like terms: 8v + -8v = 0 9 + -12v = -7 + 0 9 + -12v = -7 Add '-9' to each side of the equation. 9 + -9 + -12v = -7 + -9 Combine like terms: 9 + -9 = 0 0 + -12v = -7 + -9 -12v = -7 + -9 Combine like terms: -7 + -9 = -16 -12v = -16 Divide each side by '-12'. v = 1.333333333 Simplifying v = 1.333333333
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