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Simplifying 2(3 + 4c) = 3(3 + 4c) (3 * 2 + 4c * 2) = 3(3 + 4c) (6 + 8c) = 3(3 + 4c) 6 + 8c = (3 * 3 + 4c * 3) 6 + 8c = (9 + 12c) Solving 6 + 8c = 9 + 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. 6 + 8c + -12c = 9 + 12c + -12c Combine like terms: 8c + -12c = -4c 6 + -4c = 9 + 12c + -12c Combine like terms: 12c + -12c = 0 6 + -4c = 9 + 0 6 + -4c = 9 Add '-6' to each side of the equation. 6 + -6 + -4c = 9 + -6 Combine like terms: 6 + -6 = 0 0 + -4c = 9 + -6 -4c = 9 + -6 Combine like terms: 9 + -6 = 3 -4c = 3 Divide each side by '-4'. c = -0.75 Simplifying c = -0.75
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