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Simplifying -8c + 1 + -2 = 19 + -12c Reorder the terms: 1 + -2 + -8c = 19 + -12c Combine like terms: 1 + -2 = -1 -1 + -8c = 19 + -12c Solving -1 + -8c = 19 + -12c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '12c' to each side of the equation. -1 + -8c + 12c = 19 + -12c + 12c Combine like terms: -8c + 12c = 4c -1 + 4c = 19 + -12c + 12c Combine like terms: -12c + 12c = 0 -1 + 4c = 19 + 0 -1 + 4c = 19 Add '1' to each side of the equation. -1 + 1 + 4c = 19 + 1 Combine like terms: -1 + 1 = 0 0 + 4c = 19 + 1 4c = 19 + 1 Combine like terms: 19 + 1 = 20 4c = 20 Divide each side by '4'. c = 5 Simplifying c = 5
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