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Simplifying 6c + -3 + 5(c + -4) + 2 = 4c + 7(c + -3) Reorder the terms: 6c + -3 + 5(-4 + c) + 2 = 4c + 7(c + -3) 6c + -3 + (-4 * 5 + c * 5) + 2 = 4c + 7(c + -3) 6c + -3 + (-20 + 5c) + 2 = 4c + 7(c + -3) Reorder the terms: -3 + -20 + 2 + 6c + 5c = 4c + 7(c + -3) Combine like terms: -3 + -20 = -23 -23 + 2 + 6c + 5c = 4c + 7(c + -3) Combine like terms: -23 + 2 = -21 -21 + 6c + 5c = 4c + 7(c + -3) Combine like terms: 6c + 5c = 11c -21 + 11c = 4c + 7(c + -3) Reorder the terms: -21 + 11c = 4c + 7(-3 + c) -21 + 11c = 4c + (-3 * 7 + c * 7) -21 + 11c = 4c + (-21 + 7c) Reorder the terms: -21 + 11c = -21 + 4c + 7c Combine like terms: 4c + 7c = 11c -21 + 11c = -21 + 11c Add '21' to each side of the equation. -21 + 21 + 11c = -21 + 21 + 11c Combine like terms: -21 + 21 = 0 0 + 11c = -21 + 21 + 11c 11c = -21 + 21 + 11c Combine like terms: -21 + 21 = 0 11c = 0 + 11c 11c = 11c Add '-11c' to each side of the equation. 11c + -11c = 11c + -11c Combine like terms: 11c + -11c = 0 0 = 11c + -11c Combine like terms: 11c + -11c = 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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