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Simplifying 9 + -8(4c + 9) = c + -9 Reorder the terms: 9 + -8(9 + 4c) = c + -9 9 + (9 * -8 + 4c * -8) = c + -9 9 + (-72 + -32c) = c + -9 Combine like terms: 9 + -72 = -63 -63 + -32c = c + -9 Reorder the terms: -63 + -32c = -9 + c Solving -63 + -32c = -9 + c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1c' to each side of the equation. -63 + -32c + -1c = -9 + c + -1c Combine like terms: -32c + -1c = -33c -63 + -33c = -9 + c + -1c Combine like terms: c + -1c = 0 -63 + -33c = -9 + 0 -63 + -33c = -9 Add '63' to each side of the equation. -63 + 63 + -33c = -9 + 63 Combine like terms: -63 + 63 = 0 0 + -33c = -9 + 63 -33c = -9 + 63 Combine like terms: -9 + 63 = 54 -33c = 54 Divide each side by '-33'. c = -1.636363636 Simplifying c = -1.636363636
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