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Simplifying 4c + 2 = 7(c + 6) Reorder the terms: 2 + 4c = 7(c + 6) Reorder the terms: 2 + 4c = 7(6 + c) 2 + 4c = (6 * 7 + c * 7) 2 + 4c = (42 + 7c) Solving 2 + 4c = 42 + 7c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-7c' to each side of the equation. 2 + 4c + -7c = 42 + 7c + -7c Combine like terms: 4c + -7c = -3c 2 + -3c = 42 + 7c + -7c Combine like terms: 7c + -7c = 0 2 + -3c = 42 + 0 2 + -3c = 42 Add '-2' to each side of the equation. 2 + -2 + -3c = 42 + -2 Combine like terms: 2 + -2 = 0 0 + -3c = 42 + -2 -3c = 42 + -2 Combine like terms: 42 + -2 = 40 -3c = 40 Divide each side by '-3'. c = -13.33333333 Simplifying c = -13.33333333
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