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Simplifying 6d + -4c + 2 = 7(c + 3) Reorder the terms: 2 + -4c + 6d = 7(c + 3) Reorder the terms: 2 + -4c + 6d = 7(3 + c) 2 + -4c + 6d = (3 * 7 + c * 7) 2 + -4c + 6d = (21 + 7c) Solving 2 + -4c + 6d = 21 + 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 + 6d = 21 + 7c + -7c Combine like terms: -4c + -7c = -11c 2 + -11c + 6d = 21 + 7c + -7c Combine like terms: 7c + -7c = 0 2 + -11c + 6d = 21 + 0 2 + -11c + 6d = 21 Add '-2' to each side of the equation. 2 + -11c + -2 + 6d = 21 + -2 Reorder the terms: 2 + -2 + -11c + 6d = 21 + -2 Combine like terms: 2 + -2 = 0 0 + -11c + 6d = 21 + -2 -11c + 6d = 21 + -2 Combine like terms: 21 + -2 = 19 -11c + 6d = 19 Add '-6d' to each side of the equation. -11c + 6d + -6d = 19 + -6d Combine like terms: 6d + -6d = 0 -11c + 0 = 19 + -6d -11c = 19 + -6d Divide each side by '-11'. c = -1.727272727 + 0.5454545455d Simplifying c = -1.727272727 + 0.5454545455d
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