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Simplifying -9(7c + 2) = -24 + -5c Reorder the terms: -9(2 + 7c) = -24 + -5c (2 * -9 + 7c * -9) = -24 + -5c (-18 + -63c) = -24 + -5c Solving -18 + -63c = -24 + -5c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '5c' to each side of the equation. -18 + -63c + 5c = -24 + -5c + 5c Combine like terms: -63c + 5c = -58c -18 + -58c = -24 + -5c + 5c Combine like terms: -5c + 5c = 0 -18 + -58c = -24 + 0 -18 + -58c = -24 Add '18' to each side of the equation. -18 + 18 + -58c = -24 + 18 Combine like terms: -18 + 18 = 0 0 + -58c = -24 + 18 -58c = -24 + 18 Combine like terms: -24 + 18 = -6 -58c = -6 Divide each side by '-58'. c = 0.1034482759 Simplifying c = 0.1034482759
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