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Simplifying 3(2 + -1c) = (c + 4) (2 * 3 + -1c * 3) = (c + 4) (6 + -3c) = (c + 4) Reorder the terms: 6 + -3c = (4 + c) Remove parenthesis around (4 + c) 6 + -3c = 4 + c Solving 6 + -3c = 4 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 6 + -3c + -1c = 4 + c + -1c Combine like terms: -3c + -1c = -4c 6 + -4c = 4 + c + -1c Combine like terms: c + -1c = 0 6 + -4c = 4 + 0 6 + -4c = 4 Add '-6' to each side of the equation. 6 + -6 + -4c = 4 + -6 Combine like terms: 6 + -6 = 0 0 + -4c = 4 + -6 -4c = 4 + -6 Combine like terms: 4 + -6 = -2 -4c = -2 Divide each side by '-4'. c = 0.5 Simplifying c = 0.5
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