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Simplifying 3(9 + -1c) + -47 = 21c + -4(5 + 6c) (9 * 3 + -1c * 3) + -47 = 21c + -4(5 + 6c) (27 + -3c) + -47 = 21c + -4(5 + 6c) Reorder the terms: 27 + -47 + -3c = 21c + -4(5 + 6c) Combine like terms: 27 + -47 = -20 -20 + -3c = 21c + -4(5 + 6c) -20 + -3c = 21c + (5 * -4 + 6c * -4) -20 + -3c = 21c + (-20 + -24c) Reorder the terms: -20 + -3c = -20 + 21c + -24c Combine like terms: 21c + -24c = -3c -20 + -3c = -20 + -3c Add '20' to each side of the equation. -20 + 20 + -3c = -20 + 20 + -3c Combine like terms: -20 + 20 = 0 0 + -3c = -20 + 20 + -3c -3c = -20 + 20 + -3c Combine like terms: -20 + 20 = 0 -3c = 0 + -3c -3c = -3c Add '3c' to each side of the equation. -3c + 3c = -3c + 3c Combine like terms: -3c + 3c = 0 0 = -3c + 3c Combine like terms: -3c + 3c = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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