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Simplifying 7(1 + -1c) = 6(c + -6) (1 * 7 + -1c * 7) = 6(c + -6) (7 + -7c) = 6(c + -6) Reorder the terms: 7 + -7c = 6(-6 + c) 7 + -7c = (-6 * 6 + c * 6) 7 + -7c = (-36 + 6c) Solving 7 + -7c = -36 + 6c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6c' to each side of the equation. 7 + -7c + -6c = -36 + 6c + -6c Combine like terms: -7c + -6c = -13c 7 + -13c = -36 + 6c + -6c Combine like terms: 6c + -6c = 0 7 + -13c = -36 + 0 7 + -13c = -36 Add '-7' to each side of the equation. 7 + -7 + -13c = -36 + -7 Combine like terms: 7 + -7 = 0 0 + -13c = -36 + -7 -13c = -36 + -7 Combine like terms: -36 + -7 = -43 -13c = -43 Divide each side by '-13'. c = 3.307692308 Simplifying c = 3.307692308
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