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Simplifying 13c + 33 = 17c + -5 Reorder the terms: 33 + 13c = 17c + -5 Reorder the terms: 33 + 13c = -5 + 17c Solving 33 + 13c = -5 + 17c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-17c' to each side of the equation. 33 + 13c + -17c = -5 + 17c + -17c Combine like terms: 13c + -17c = -4c 33 + -4c = -5 + 17c + -17c Combine like terms: 17c + -17c = 0 33 + -4c = -5 + 0 33 + -4c = -5 Add '-33' to each side of the equation. 33 + -33 + -4c = -5 + -33 Combine like terms: 33 + -33 = 0 0 + -4c = -5 + -33 -4c = -5 + -33 Combine like terms: -5 + -33 = -38 -4c = -38 Divide each side by '-4'. c = 9.5 Simplifying c = 9.5
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