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Simplifying 9c + -39 = 10c + -46 Reorder the terms: -39 + 9c = 10c + -46 Reorder the terms: -39 + 9c = -46 + 10c Solving -39 + 9c = -46 + 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. -39 + 9c + -10c = -46 + 10c + -10c Combine like terms: 9c + -10c = -1c -39 + -1c = -46 + 10c + -10c Combine like terms: 10c + -10c = 0 -39 + -1c = -46 + 0 -39 + -1c = -46 Add '39' to each side of the equation. -39 + 39 + -1c = -46 + 39 Combine like terms: -39 + 39 = 0 0 + -1c = -46 + 39 -1c = -46 + 39 Combine like terms: -46 + 39 = -7 -1c = -7 Divide each side by '-1'. c = 7 Simplifying c = 7
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