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Simplifying 38 = 11 + 12 + c Combine like terms: 11 + 12 = 23 38 = 23 + c Solving 38 = 23 + 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. 38 + -1c = 23 + c + -1c Combine like terms: c + -1c = 0 38 + -1c = 23 + 0 38 + -1c = 23 Add '-38' to each side of the equation. 38 + -38 + -1c = 23 + -38 Combine like terms: 38 + -38 = 0 0 + -1c = 23 + -38 -1c = 23 + -38 Combine like terms: 23 + -38 = -15 -1c = -15 Divide each side by '-1'. c = 15 Simplifying c = 15
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