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Simplifying 6(2c + 3) + -2r = -12 Reorder the terms: 6(3 + 2c) + -2r = -12 (3 * 6 + 2c * 6) + -2r = -12 (18 + 12c) + -2r = -12 Solving 18 + 12c + -2r = -12 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 12c + -18 + -2r = -12 + -18 Reorder the terms: 18 + -18 + 12c + -2r = -12 + -18 Combine like terms: 18 + -18 = 0 0 + 12c + -2r = -12 + -18 12c + -2r = -12 + -18 Combine like terms: -12 + -18 = -30 12c + -2r = -30 Add '2r' to each side of the equation. 12c + -2r + 2r = -30 + 2r Combine like terms: -2r + 2r = 0 12c + 0 = -30 + 2r 12c = -30 + 2r Divide each side by '12'. c = -2.5 + 0.1666666667r Simplifying c = -2.5 + 0.1666666667r
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