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Simplifying 14 + (v + 1) + -2v = 4(3v + 1) + -6 Reorder the terms: 14 + (1 + v) + -2v = 4(3v + 1) + -6 Remove parenthesis around (1 + v) 14 + 1 + v + -2v = 4(3v + 1) + -6 Combine like terms: 14 + 1 = 15 15 + v + -2v = 4(3v + 1) + -6 Combine like terms: v + -2v = -1v 15 + -1v = 4(3v + 1) + -6 Reorder the terms: 15 + -1v = 4(1 + 3v) + -6 15 + -1v = (1 * 4 + 3v * 4) + -6 15 + -1v = (4 + 12v) + -6 Reorder the terms: 15 + -1v = 4 + -6 + 12v Combine like terms: 4 + -6 = -2 15 + -1v = -2 + 12v Solving 15 + -1v = -2 + 12v Solving for variable 'v'. Move all terms containing v to the left, all other terms to the right. Add '-12v' to each side of the equation. 15 + -1v + -12v = -2 + 12v + -12v Combine like terms: -1v + -12v = -13v 15 + -13v = -2 + 12v + -12v Combine like terms: 12v + -12v = 0 15 + -13v = -2 + 0 15 + -13v = -2 Add '-15' to each side of the equation. 15 + -15 + -13v = -2 + -15 Combine like terms: 15 + -15 = 0 0 + -13v = -2 + -15 -13v = -2 + -15 Combine like terms: -2 + -15 = -17 -13v = -17 Divide each side by '-13'. v = 1.307692308 Simplifying v = 1.307692308
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