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Simplifying 6(7c + -1) + -10 = 40c + 6 Reorder the terms: 6(-1 + 7c) + -10 = 40c + 6 (-1 * 6 + 7c * 6) + -10 = 40c + 6 (-6 + 42c) + -10 = 40c + 6 Reorder the terms: -6 + -10 + 42c = 40c + 6 Combine like terms: -6 + -10 = -16 -16 + 42c = 40c + 6 Reorder the terms: -16 + 42c = 6 + 40c Solving -16 + 42c = 6 + 40c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-40c' to each side of the equation. -16 + 42c + -40c = 6 + 40c + -40c Combine like terms: 42c + -40c = 2c -16 + 2c = 6 + 40c + -40c Combine like terms: 40c + -40c = 0 -16 + 2c = 6 + 0 -16 + 2c = 6 Add '16' to each side of the equation. -16 + 16 + 2c = 6 + 16 Combine like terms: -16 + 16 = 0 0 + 2c = 6 + 16 2c = 6 + 16 Combine like terms: 6 + 16 = 22 2c = 22 Divide each side by '2'. c = 11 Simplifying c = 11
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