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