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Simplifying 6(1 + -7.5c) = -24.5 (1 * 6 + -7.5c * 6) = -24.5 (6 + -45c) = -24.5 Solving 6 + -45c = -24.5 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + -6 + -45c = -24.5 + -6 Combine like terms: 6 + -6 = 0 0 + -45c = -24.5 + -6 -45c = -24.5 + -6 Combine like terms: -24.5 + -6 = -30.5 -45c = -30.5 Divide each side by '-45'. c = 0.6777777778 Simplifying c = 0.6777777778
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