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Simplifying 3(4c + -1) + -3 = 8c + 2 Reorder the terms: 3(-1 + 4c) + -3 = 8c + 2 (-1 * 3 + 4c * 3) + -3 = 8c + 2 (-3 + 12c) + -3 = 8c + 2 Reorder the terms: -3 + -3 + 12c = 8c + 2 Combine like terms: -3 + -3 = -6 -6 + 12c = 8c + 2 Reorder the terms: -6 + 12c = 2 + 8c Solving -6 + 12c = 2 + 8c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-8c' to each side of the equation. -6 + 12c + -8c = 2 + 8c + -8c Combine like terms: 12c + -8c = 4c -6 + 4c = 2 + 8c + -8c Combine like terms: 8c + -8c = 0 -6 + 4c = 2 + 0 -6 + 4c = 2 Add '6' to each side of the equation. -6 + 6 + 4c = 2 + 6 Combine like terms: -6 + 6 = 0 0 + 4c = 2 + 6 4c = 2 + 6 Combine like terms: 2 + 6 = 8 4c = 8 Divide each side by '4'. c = 2 Simplifying c = 2
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