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Simplifying 11c + -2(2c + 1) = 3(c + -6) Reorder the terms: 11c + -2(1 + 2c) = 3(c + -6) 11c + (1 * -2 + 2c * -2) = 3(c + -6) 11c + (-2 + -4c) = 3(c + -6) Reorder the terms: -2 + 11c + -4c = 3(c + -6) Combine like terms: 11c + -4c = 7c -2 + 7c = 3(c + -6) Reorder the terms: -2 + 7c = 3(-6 + c) -2 + 7c = (-6 * 3 + c * 3) -2 + 7c = (-18 + 3c) Solving -2 + 7c = -18 + 3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-3c' to each side of the equation. -2 + 7c + -3c = -18 + 3c + -3c Combine like terms: 7c + -3c = 4c -2 + 4c = -18 + 3c + -3c Combine like terms: 3c + -3c = 0 -2 + 4c = -18 + 0 -2 + 4c = -18 Add '2' to each side of the equation. -2 + 2 + 4c = -18 + 2 Combine like terms: -2 + 2 = 0 0 + 4c = -18 + 2 4c = -18 + 2 Combine like terms: -18 + 2 = -16 4c = -16 Divide each side by '4'. c = -4 Simplifying c = -4
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