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Simplifying 7 + -6(c + -1) + 3(3 + -4c) = 0 Reorder the terms: 7 + -6(-1 + c) + 3(3 + -4c) = 0 7 + (-1 * -6 + c * -6) + 3(3 + -4c) = 0 7 + (6 + -6c) + 3(3 + -4c) = 0 7 + 6 + -6c + (3 * 3 + -4c * 3) = 0 7 + 6 + -6c + (9 + -12c) = 0 Reorder the terms: 7 + 6 + 9 + -6c + -12c = 0 Combine like terms: 7 + 6 = 13 13 + 9 + -6c + -12c = 0 Combine like terms: 13 + 9 = 22 22 + -6c + -12c = 0 Combine like terms: -6c + -12c = -18c 22 + -18c = 0 Solving 22 + -18c = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + -22 + -18c = 0 + -22 Combine like terms: 22 + -22 = 0 0 + -18c = 0 + -22 -18c = 0 + -22 Combine like terms: 0 + -22 = -22 -18c = -22 Divide each side by '-18'. c = 1.222222222 Simplifying c = 1.222222222
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