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Simplifying (2c + 1) + 8(-5c + 2) = 0 Reorder the terms: (1 + 2c) + 8(-5c + 2) = 0 Remove parenthesis around (1 + 2c) 1 + 2c + 8(-5c + 2) = 0 Reorder the terms: 1 + 2c + 8(2 + -5c) = 0 1 + 2c + (2 * 8 + -5c * 8) = 0 1 + 2c + (16 + -40c) = 0 Reorder the terms: 1 + 16 + 2c + -40c = 0 Combine like terms: 1 + 16 = 17 17 + 2c + -40c = 0 Combine like terms: 2c + -40c = -38c 17 + -38c = 0 Solving 17 + -38c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + -38c = 0 + -17 Combine like terms: 17 + -17 = 0 0 + -38c = 0 + -17 -38c = 0 + -17 Combine like terms: 0 + -17 = -17 -38c = -17 Divide each side by '-38'. c = 0.4473684211 Simplifying c = 0.4473684211
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