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Simplifying 8c + -3 = c + 46 Reorder the terms: -3 + 8c = c + 46 Reorder the terms: -3 + 8c = 46 + c Solving -3 + 8c = 46 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -3 + 8c + -1c = 46 + c + -1c Combine like terms: 8c + -1c = 7c -3 + 7c = 46 + c + -1c Combine like terms: c + -1c = 0 -3 + 7c = 46 + 0 -3 + 7c = 46 Add '3' to each side of the equation. -3 + 3 + 7c = 46 + 3 Combine like terms: -3 + 3 = 0 0 + 7c = 46 + 3 7c = 46 + 3 Combine like terms: 46 + 3 = 49 7c = 49 Divide each side by '7'. c = 7 Simplifying c = 7
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