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Simplifying 3(c + -4) + 2c = 8 + -5(4 + -1c) Reorder the terms: 3(-4 + c) + 2c = 8 + -5(4 + -1c) (-4 * 3 + c * 3) + 2c = 8 + -5(4 + -1c) (-12 + 3c) + 2c = 8 + -5(4 + -1c) Combine like terms: 3c + 2c = 5c -12 + 5c = 8 + -5(4 + -1c) -12 + 5c = 8 + (4 * -5 + -1c * -5) -12 + 5c = 8 + (-20 + 5c) Combine like terms: 8 + -20 = -12 -12 + 5c = -12 + 5c Add '12' to each side of the equation. -12 + 12 + 5c = -12 + 12 + 5c Combine like terms: -12 + 12 = 0 0 + 5c = -12 + 12 + 5c 5c = -12 + 12 + 5c Combine like terms: -12 + 12 = 0 5c = 0 + 5c 5c = 5c Add '-5c' to each side of the equation. 5c + -5c = 5c + -5c Combine like terms: 5c + -5c = 0 0 = 5c + -5c Combine like terms: 5c + -5c = 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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