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Simplifying 3(6 + -1c) + -33 = 17c + -5(3 + 4c) (6 * 3 + -1c * 3) + -33 = 17c + -5(3 + 4c) (18 + -3c) + -33 = 17c + -5(3 + 4c) Reorder the terms: 18 + -33 + -3c = 17c + -5(3 + 4c) Combine like terms: 18 + -33 = -15 -15 + -3c = 17c + -5(3 + 4c) -15 + -3c = 17c + (3 * -5 + 4c * -5) -15 + -3c = 17c + (-15 + -20c) Reorder the terms: -15 + -3c = -15 + 17c + -20c Combine like terms: 17c + -20c = -3c -15 + -3c = -15 + -3c Add '15' to each side of the equation. -15 + 15 + -3c = -15 + 15 + -3c Combine like terms: -15 + 15 = 0 0 + -3c = -15 + 15 + -3c -3c = -15 + 15 + -3c Combine like terms: -15 + 15 = 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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