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Simplifying 8(4 + 9c) = 7(-2 + -11c) (4 * 8 + 9c * 8) = 7(-2 + -11c) (32 + 72c) = 7(-2 + -11c) 32 + 72c = (-2 * 7 + -11c * 7) 32 + 72c = (-14 + -77c) Solving 32 + 72c = -14 + -77c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '77c' to each side of the equation. 32 + 72c + 77c = -14 + -77c + 77c Combine like terms: 72c + 77c = 149c 32 + 149c = -14 + -77c + 77c Combine like terms: -77c + 77c = 0 32 + 149c = -14 + 0 32 + 149c = -14 Add '-32' to each side of the equation. 32 + -32 + 149c = -14 + -32 Combine like terms: 32 + -32 = 0 0 + 149c = -14 + -32 149c = -14 + -32 Combine like terms: -14 + -32 = -46 149c = -46 Divide each side by '149'. c = -0.3087248322 Simplifying c = -0.3087248322
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