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Simplifying 3(5 + -1c) + -23 = 21c + -4(2 + 6c) (5 * 3 + -1c * 3) + -23 = 21c + -4(2 + 6c) (15 + -3c) + -23 = 21c + -4(2 + 6c) Reorder the terms: 15 + -23 + -3c = 21c + -4(2 + 6c) Combine like terms: 15 + -23 = -8 -8 + -3c = 21c + -4(2 + 6c) -8 + -3c = 21c + (2 * -4 + 6c * -4) -8 + -3c = 21c + (-8 + -24c) Reorder the terms: -8 + -3c = -8 + 21c + -24c Combine like terms: 21c + -24c = -3c -8 + -3c = -8 + -3c Add '8' to each side of the equation. -8 + 8 + -3c = -8 + 8 + -3c Combine like terms: -8 + 8 = 0 0 + -3c = -8 + 8 + -3c -3c = -8 + 8 + -3c Combine like terms: -8 + 8 = 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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