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Simplifying 4(5 + -1c) + -32 = 26c + -6(2 + 5c) (5 * 4 + -1c * 4) + -32 = 26c + -6(2 + 5c) (20 + -4c) + -32 = 26c + -6(2 + 5c) Reorder the terms: 20 + -32 + -4c = 26c + -6(2 + 5c) Combine like terms: 20 + -32 = -12 -12 + -4c = 26c + -6(2 + 5c) -12 + -4c = 26c + (2 * -6 + 5c * -6) -12 + -4c = 26c + (-12 + -30c) Reorder the terms: -12 + -4c = -12 + 26c + -30c Combine like terms: 26c + -30c = -4c -12 + -4c = -12 + -4c Add '12' to each side of the equation. -12 + 12 + -4c = -12 + 12 + -4c Combine like terms: -12 + 12 = 0 0 + -4c = -12 + 12 + -4c -4c = -12 + 12 + -4c Combine like terms: -12 + 12 = 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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