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Simplifying 54 + -21c = -32c + -3 * 15 Multiply -3 * 15 54 + -21c = -32c + -45 Reorder the terms: 54 + -21c = -45 + -32c Solving 54 + -21c = -45 + -32c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '32c' to each side of the equation. 54 + -21c + 32c = -45 + -32c + 32c Combine like terms: -21c + 32c = 11c 54 + 11c = -45 + -32c + 32c Combine like terms: -32c + 32c = 0 54 + 11c = -45 + 0 54 + 11c = -45 Add '-54' to each side of the equation. 54 + -54 + 11c = -45 + -54 Combine like terms: 54 + -54 = 0 0 + 11c = -45 + -54 11c = -45 + -54 Combine like terms: -45 + -54 = -99 11c = -99 Divide each side by '11'. c = -9 Simplifying c = -9
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