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Simplifying 5c + 13 = 10c + 33 Reorder the terms: 13 + 5c = 10c + 33 Reorder the terms: 13 + 5c = 33 + 10c Solving 13 + 5c = 33 + 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. 13 + 5c + -10c = 33 + 10c + -10c Combine like terms: 5c + -10c = -5c 13 + -5c = 33 + 10c + -10c Combine like terms: 10c + -10c = 0 13 + -5c = 33 + 0 13 + -5c = 33 Add '-13' to each side of the equation. 13 + -13 + -5c = 33 + -13 Combine like terms: 13 + -13 = 0 0 + -5c = 33 + -13 -5c = 33 + -13 Combine like terms: 33 + -13 = 20 -5c = 20 Divide each side by '-5'. c = -4 Simplifying c = -4
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