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Simplifying 3(7 + -1c) + -31 = 27c + -5(2 + 6c) (7 * 3 + -1c * 3) + -31 = 27c + -5(2 + 6c) (21 + -3c) + -31 = 27c + -5(2 + 6c) Reorder the terms: 21 + -31 + -3c = 27c + -5(2 + 6c) Combine like terms: 21 + -31 = -10 -10 + -3c = 27c + -5(2 + 6c) -10 + -3c = 27c + (2 * -5 + 6c * -5) -10 + -3c = 27c + (-10 + -30c) Reorder the terms: -10 + -3c = -10 + 27c + -30c Combine like terms: 27c + -30c = -3c -10 + -3c = -10 + -3c Add '10' to each side of the equation. -10 + 10 + -3c = -10 + 10 + -3c Combine like terms: -10 + 10 = 0 0 + -3c = -10 + 10 + -3c -3c = -10 + 10 + -3c Combine like terms: -10 + 10 = 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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