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Simplifying 45 + -1c = c + 30 Reorder the terms: 45 + -1c = 30 + c Solving 45 + -1c = 30 + 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. 45 + -1c + -1c = 30 + c + -1c Combine like terms: -1c + -1c = -2c 45 + -2c = 30 + c + -1c Combine like terms: c + -1c = 0 45 + -2c = 30 + 0 45 + -2c = 30 Add '-45' to each side of the equation. 45 + -45 + -2c = 30 + -45 Combine like terms: 45 + -45 = 0 0 + -2c = 30 + -45 -2c = 30 + -45 Combine like terms: 30 + -45 = -15 -2c = -15 Divide each side by '-2'. c = 7.5 Simplifying c = 7.5
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