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Simplifying 7 + -6(c + -1) + 3(3 + -4c) = 7 + (7c + -4) Reorder the terms: 7 + -6(-1 + c) + 3(3 + -4c) = 7 + (7c + -4) 7 + (-1 * -6 + c * -6) + 3(3 + -4c) = 7 + (7c + -4) 7 + (6 + -6c) + 3(3 + -4c) = 7 + (7c + -4) 7 + 6 + -6c + (3 * 3 + -4c * 3) = 7 + (7c + -4) 7 + 6 + -6c + (9 + -12c) = 7 + (7c + -4) Reorder the terms: 7 + 6 + 9 + -6c + -12c = 7 + (7c + -4) Combine like terms: 7 + 6 = 13 13 + 9 + -6c + -12c = 7 + (7c + -4) Combine like terms: 13 + 9 = 22 22 + -6c + -12c = 7 + (7c + -4) Combine like terms: -6c + -12c = -18c 22 + -18c = 7 + (7c + -4) Reorder the terms: 22 + -18c = 7 + (-4 + 7c) Remove parenthesis around (-4 + 7c) 22 + -18c = 7 + -4 + 7c Combine like terms: 7 + -4 = 3 22 + -18c = 3 + 7c Solving 22 + -18c = 3 + 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. 22 + -18c + -7c = 3 + 7c + -7c Combine like terms: -18c + -7c = -25c 22 + -25c = 3 + 7c + -7c Combine like terms: 7c + -7c = 0 22 + -25c = 3 + 0 22 + -25c = 3 Add '-22' to each side of the equation. 22 + -22 + -25c = 3 + -22 Combine like terms: 22 + -22 = 0 0 + -25c = 3 + -22 -25c = 3 + -22 Combine like terms: 3 + -22 = -19 -25c = -19 Divide each side by '-25'. c = 0.76 Simplifying c = 0.76
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