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Simplifying 18 + -13c + 20 = 8(-4c + 2) + 17c Reorder the terms: 18 + 20 + -13c = 8(-4c + 2) + 17c Combine like terms: 18 + 20 = 38 38 + -13c = 8(-4c + 2) + 17c Reorder the terms: 38 + -13c = 8(2 + -4c) + 17c 38 + -13c = (2 * 8 + -4c * 8) + 17c 38 + -13c = (16 + -32c) + 17c Combine like terms: -32c + 17c = -15c 38 + -13c = 16 + -15c Solving 38 + -13c = 16 + -15c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15c' to each side of the equation. 38 + -13c + 15c = 16 + -15c + 15c Combine like terms: -13c + 15c = 2c 38 + 2c = 16 + -15c + 15c Combine like terms: -15c + 15c = 0 38 + 2c = 16 + 0 38 + 2c = 16 Add '-38' to each side of the equation. 38 + -38 + 2c = 16 + -38 Combine like terms: 38 + -38 = 0 0 + 2c = 16 + -38 2c = 16 + -38 Combine like terms: 16 + -38 = -22 2c = -22 Divide each side by '2'. c = -11 Simplifying c = -11
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