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Simplifying 15c + -51c + -30 = 9c + 15 Reorder the terms: -30 + 15c + -51c = 9c + 15 Combine like terms: 15c + -51c = -36c -30 + -36c = 9c + 15 Reorder the terms: -30 + -36c = 15 + 9c Solving -30 + -36c = 15 + 9c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-9c' to each side of the equation. -30 + -36c + -9c = 15 + 9c + -9c Combine like terms: -36c + -9c = -45c -30 + -45c = 15 + 9c + -9c Combine like terms: 9c + -9c = 0 -30 + -45c = 15 + 0 -30 + -45c = 15 Add '30' to each side of the equation. -30 + 30 + -45c = 15 + 30 Combine like terms: -30 + 30 = 0 0 + -45c = 15 + 30 -45c = 15 + 30 Combine like terms: 15 + 30 = 45 -45c = 45 Divide each side by '-45'. c = -1 Simplifying c = -1
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