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Simplifying 4(3c + -1) + -2 = 8c + 6 Reorder the terms: 4(-1 + 3c) + -2 = 8c + 6 (-1 * 4 + 3c * 4) + -2 = 8c + 6 (-4 + 12c) + -2 = 8c + 6 Reorder the terms: -4 + -2 + 12c = 8c + 6 Combine like terms: -4 + -2 = -6 -6 + 12c = 8c + 6 Reorder the terms: -6 + 12c = 6 + 8c Solving -6 + 12c = 6 + 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 = 6 + 8c + -8c Combine like terms: 12c + -8c = 4c -6 + 4c = 6 + 8c + -8c Combine like terms: 8c + -8c = 0 -6 + 4c = 6 + 0 -6 + 4c = 6 Add '6' to each side of the equation. -6 + 6 + 4c = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 4c = 6 + 6 4c = 6 + 6 Combine like terms: 6 + 6 = 12 4c = 12 Divide each side by '4'. c = 3 Simplifying c = 3
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