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Simplifying 3(4c + -3) + -3 = 4c + 1 Reorder the terms: 3(-3 + 4c) + -3 = 4c + 1 (-3 * 3 + 4c * 3) + -3 = 4c + 1 (-9 + 12c) + -3 = 4c + 1 Reorder the terms: -9 + -3 + 12c = 4c + 1 Combine like terms: -9 + -3 = -12 -12 + 12c = 4c + 1 Reorder the terms: -12 + 12c = 1 + 4c Solving -12 + 12c = 1 + 4c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-4c' to each side of the equation. -12 + 12c + -4c = 1 + 4c + -4c Combine like terms: 12c + -4c = 8c -12 + 8c = 1 + 4c + -4c Combine like terms: 4c + -4c = 0 -12 + 8c = 1 + 0 -12 + 8c = 1 Add '12' to each side of the equation. -12 + 12 + 8c = 1 + 12 Combine like terms: -12 + 12 = 0 0 + 8c = 1 + 12 8c = 1 + 12 Combine like terms: 1 + 12 = 13 8c = 13 Divide each side by '8'. c = 1.625 Simplifying c = 1.625
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