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Simplifying 42 = 6c + -9 Reorder the terms: 42 = -9 + 6c Solving 42 = -9 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 42 + -6c = -9 + 6c + -6c Combine like terms: 6c + -6c = 0 42 + -6c = -9 + 0 42 + -6c = -9 Add '-42' to each side of the equation. 42 + -42 + -6c = -9 + -42 Combine like terms: 42 + -42 = 0 0 + -6c = -9 + -42 -6c = -9 + -42 Combine like terms: -9 + -42 = -51 -6c = -51 Divide each side by '-6'. c = 8.5 Simplifying c = 8.5
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