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Simplifying 8 + 6c + -30 + 5c = 10c + 18 Reorder the terms: 8 + -30 + 6c + 5c = 10c + 18 Combine like terms: 8 + -30 = -22 -22 + 6c + 5c = 10c + 18 Combine like terms: 6c + 5c = 11c -22 + 11c = 10c + 18 Reorder the terms: -22 + 11c = 18 + 10c Solving -22 + 11c = 18 + 10c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-10c' to each side of the equation. -22 + 11c + -10c = 18 + 10c + -10c Combine like terms: 11c + -10c = 1c -22 + 1c = 18 + 10c + -10c Combine like terms: 10c + -10c = 0 -22 + 1c = 18 + 0 -22 + 1c = 18 Add '22' to each side of the equation. -22 + 22 + 1c = 18 + 22 Combine like terms: -22 + 22 = 0 0 + 1c = 18 + 22 1c = 18 + 22 Combine like terms: 18 + 22 = 40 1c = 40 Divide each side by '1'. c = 40 Simplifying c = 40
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