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Simplifying 14(v + 2) + -2c = 4(3v + 1) + -13 Reorder the terms: 14(2 + v) + -2c = 4(3v + 1) + -13 (2 * 14 + v * 14) + -2c = 4(3v + 1) + -13 (28 + 14v) + -2c = 4(3v + 1) + -13 Reorder the terms: 28 + -2c + 14v = 4(3v + 1) + -13 Reorder the terms: 28 + -2c + 14v = 4(1 + 3v) + -13 28 + -2c + 14v = (1 * 4 + 3v * 4) + -13 28 + -2c + 14v = (4 + 12v) + -13 Reorder the terms: 28 + -2c + 14v = 4 + -13 + 12v Combine like terms: 4 + -13 = -9 28 + -2c + 14v = -9 + 12v Solving 28 + -2c + 14v = -9 + 12v Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-28' to each side of the equation. 28 + -2c + -28 + 14v = -9 + -28 + 12v Reorder the terms: 28 + -28 + -2c + 14v = -9 + -28 + 12v Combine like terms: 28 + -28 = 0 0 + -2c + 14v = -9 + -28 + 12v -2c + 14v = -9 + -28 + 12v Combine like terms: -9 + -28 = -37 -2c + 14v = -37 + 12v Add '-14v' to each side of the equation. -2c + 14v + -14v = -37 + 12v + -14v Combine like terms: 14v + -14v = 0 -2c + 0 = -37 + 12v + -14v -2c = -37 + 12v + -14v Combine like terms: 12v + -14v = -2v -2c = -37 + -2v Divide each side by '-2'. c = 18.5 + v Simplifying c = 18.5 + v
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