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Simplifying (9c + 15d + -10) + (1 + -5d + -8c) = 0 Reorder the terms: (-10 + 9c + 15d) + (1 + -5d + -8c) = 0 Remove parenthesis around (-10 + 9c + 15d) -10 + 9c + 15d + (1 + -5d + -8c) = 0 Reorder the terms: -10 + 9c + 15d + (1 + -8c + -5d) = 0 Remove parenthesis around (1 + -8c + -5d) -10 + 9c + 15d + 1 + -8c + -5d = 0 Reorder the terms: -10 + 1 + 9c + -8c + 15d + -5d = 0 Combine like terms: -10 + 1 = -9 -9 + 9c + -8c + 15d + -5d = 0 Combine like terms: 9c + -8c = 1c -9 + 1c + 15d + -5d = 0 Combine like terms: 15d + -5d = 10d -9 + 1c + 10d = 0 Solving -9 + 1c + 10d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 1c + 9 + 10d = 0 + 9 Reorder the terms: -9 + 9 + 1c + 10d = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 1c + 10d = 0 + 9 1c + 10d = 0 + 9 Combine like terms: 0 + 9 = 9 1c + 10d = 9 Add '-10d' to each side of the equation. 1c + 10d + -10d = 9 + -10d Combine like terms: 10d + -10d = 0 1c + 0 = 9 + -10d 1c = 9 + -10d Divide each side by '1'. c = 9 + -10d Simplifying c = 9 + -10d
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