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Simplifying 7 + -1(c + -1) + 3(3 + -4c) = 7 + (7c + -4) Reorder the terms: 7 + -1(-1 + c) + 3(3 + -4c) = 7 + (7c + -4) 7 + (-1 * -1 + c * -1) + 3(3 + -4c) = 7 + (7c + -4) 7 + (1 + -1c) + 3(3 + -4c) = 7 + (7c + -4) 7 + 1 + -1c + (3 * 3 + -4c * 3) = 7 + (7c + -4) 7 + 1 + -1c + (9 + -12c) = 7 + (7c + -4) Reorder the terms: 7 + 1 + 9 + -1c + -12c = 7 + (7c + -4) Combine like terms: 7 + 1 = 8 8 + 9 + -1c + -12c = 7 + (7c + -4) Combine like terms: 8 + 9 = 17 17 + -1c + -12c = 7 + (7c + -4) Combine like terms: -1c + -12c = -13c 17 + -13c = 7 + (7c + -4) Reorder the terms: 17 + -13c = 7 + (-4 + 7c) Remove parenthesis around (-4 + 7c) 17 + -13c = 7 + -4 + 7c Combine like terms: 7 + -4 = 3 17 + -13c = 3 + 7c Solving 17 + -13c = 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. 17 + -13c + -7c = 3 + 7c + -7c Combine like terms: -13c + -7c = -20c 17 + -20c = 3 + 7c + -7c Combine like terms: 7c + -7c = 0 17 + -20c = 3 + 0 17 + -20c = 3 Add '-17' to each side of the equation. 17 + -17 + -20c = 3 + -17 Combine like terms: 17 + -17 = 0 0 + -20c = 3 + -17 -20c = 3 + -17 Combine like terms: 3 + -17 = -14 -20c = -14 Divide each side by '-20'. c = 0.7 Simplifying c = 0.7
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