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Simplifying 6(2c + 7) = 3c + -2(c + 9) Reorder the terms: 6(7 + 2c) = 3c + -2(c + 9) (7 * 6 + 2c * 6) = 3c + -2(c + 9) (42 + 12c) = 3c + -2(c + 9) Reorder the terms: 42 + 12c = 3c + -2(9 + c) 42 + 12c = 3c + (9 * -2 + c * -2) 42 + 12c = 3c + (-18 + -2c) Reorder the terms: 42 + 12c = -18 + 3c + -2c Combine like terms: 3c + -2c = 1c 42 + 12c = -18 + 1c Solving 42 + 12c = -18 + 1c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. 42 + 12c + -1c = -18 + 1c + -1c Combine like terms: 12c + -1c = 11c 42 + 11c = -18 + 1c + -1c Combine like terms: 1c + -1c = 0 42 + 11c = -18 + 0 42 + 11c = -18 Add '-42' to each side of the equation. 42 + -42 + 11c = -18 + -42 Combine like terms: 42 + -42 = 0 0 + 11c = -18 + -42 11c = -18 + -42 Combine like terms: -18 + -42 = -60 11c = -60 Divide each side by '11'. c = -5.454545455 Simplifying c = -5.454545455
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