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Simplifying 5c + 6 = -42 + -3c Reorder the terms: 6 + 5c = -42 + -3c Solving 6 + 5c = -42 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. 6 + 5c + 3c = -42 + -3c + 3c Combine like terms: 5c + 3c = 8c 6 + 8c = -42 + -3c + 3c Combine like terms: -3c + 3c = 0 6 + 8c = -42 + 0 6 + 8c = -42 Add '-6' to each side of the equation. 6 + -6 + 8c = -42 + -6 Combine like terms: 6 + -6 = 0 0 + 8c = -42 + -6 8c = -42 + -6 Combine like terms: -42 + -6 = -48 8c = -48 Divide each side by '8'. c = -6 Simplifying c = -6
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