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Simplifying 7 + 5(1 + -6c) = -32 7 + (1 * 5 + -6c * 5) = -32 7 + (5 + -30c) = -32 Combine like terms: 7 + 5 = 12 12 + -30c = -32 Solving 12 + -30c = -32 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + -30c = -32 + -12 Combine like terms: 12 + -12 = 0 0 + -30c = -32 + -12 -30c = -32 + -12 Combine like terms: -32 + -12 = -44 -30c = -44 Divide each side by '-30'. c = 1.466666667 Simplifying c = 1.466666667
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