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Simplifying 4(8 + -1c) + -52 = 26c + -5(4 + 6c) (8 * 4 + -1c * 4) + -52 = 26c + -5(4 + 6c) (32 + -4c) + -52 = 26c + -5(4 + 6c) Reorder the terms: 32 + -52 + -4c = 26c + -5(4 + 6c) Combine like terms: 32 + -52 = -20 -20 + -4c = 26c + -5(4 + 6c) -20 + -4c = 26c + (4 * -5 + 6c * -5) -20 + -4c = 26c + (-20 + -30c) Reorder the terms: -20 + -4c = -20 + 26c + -30c Combine like terms: 26c + -30c = -4c -20 + -4c = -20 + -4c Add '20' to each side of the equation. -20 + 20 + -4c = -20 + 20 + -4c Combine like terms: -20 + 20 = 0 0 + -4c = -20 + 20 + -4c -4c = -20 + 20 + -4c Combine like terms: -20 + 20 = 0 -4c = 0 + -4c -4c = -4c Add '4c' to each side of the equation. -4c + 4c = -4c + 4c Combine like terms: -4c + 4c = 0 0 = -4c + 4c Combine like terms: -4c + 4c = 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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