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Simplifying 7c + -2 = 3(c + 6) Reorder the terms: -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 = 20 4c = 20 Divide each side by '4'. c = 5 Simplifying c = 5
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