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Simplifying 3(8 + -1c) + -32 = 17c + -4(2 + 5c) (8 * 3 + -1c * 3) + -32 = 17c + -4(2 + 5c) (24 + -3c) + -32 = 17c + -4(2 + 5c) Reorder the terms: 24 + -32 + -3c = 17c + -4(2 + 5c) Combine like terms: 24 + -32 = -8 -8 + -3c = 17c + -4(2 + 5c) -8 + -3c = 17c + (2 * -4 + 5c * -4) -8 + -3c = 17c + (-8 + -20c) Reorder the terms: -8 + -3c = -8 + 17c + -20c Combine like terms: 17c + -20c = -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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