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Simplifying 4(6 + -1c) + -34 = 16c + -5(2 + 4c) (6 * 4 + -1c * 4) + -34 = 16c + -5(2 + 4c) (24 + -4c) + -34 = 16c + -5(2 + 4c) Reorder the terms: 24 + -34 + -4c = 16c + -5(2 + 4c) Combine like terms: 24 + -34 = -10 -10 + -4c = 16c + -5(2 + 4c) -10 + -4c = 16c + (2 * -5 + 4c * -5) -10 + -4c = 16c + (-10 + -20c) Reorder the terms: -10 + -4c = -10 + 16c + -20c Combine like terms: 16c + -20c = -4c -10 + -4c = -10 + -4c Add '10' to each side of the equation. -10 + 10 + -4c = -10 + 10 + -4c Combine like terms: -10 + 10 = 0 0 + -4c = -10 + 10 + -4c -4c = -10 + 10 + -4c Combine like terms: -10 + 10 = 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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