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Simplifying 400 + 100c = 550 + 70c Solving 400 + 100c = 550 + 70c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-70c' to each side of the equation. 400 + 100c + -70c = 550 + 70c + -70c Combine like terms: 100c + -70c = 30c 400 + 30c = 550 + 70c + -70c Combine like terms: 70c + -70c = 0 400 + 30c = 550 + 0 400 + 30c = 550 Add '-400' to each side of the equation. 400 + -400 + 30c = 550 + -400 Combine like terms: 400 + -400 = 0 0 + 30c = 550 + -400 30c = 550 + -400 Combine like terms: 550 + -400 = 150 30c = 150 Divide each side by '30'. c = 5 Simplifying c = 5
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