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Simplifying (3c2 + 5c + -9) + -1(6 + 15c + 3c2) = -25 Reorder the terms: (-9 + 5c + 3c2) + -1(6 + 15c + 3c2) = -25 Remove parenthesis around (-9 + 5c + 3c2) -9 + 5c + 3c2 + -1(6 + 15c + 3c2) = -25 -9 + 5c + 3c2 + (6 * -1 + 15c * -1 + 3c2 * -1) = -25 -9 + 5c + 3c2 + (-6 + -15c + -3c2) = -25 Reorder the terms: -9 + -6 + 5c + -15c + 3c2 + -3c2 = -25 Combine like terms: -9 + -6 = -15 -15 + 5c + -15c + 3c2 + -3c2 = -25 Combine like terms: 5c + -15c = -10c -15 + -10c + 3c2 + -3c2 = -25 Combine like terms: 3c2 + -3c2 = 0 -15 + -10c + 0 = -25 -15 + -10c = -25 Solving -15 + -10c = -25 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '15' to each side of the equation. -15 + 15 + -10c = -25 + 15 Combine like terms: -15 + 15 = 0 0 + -10c = -25 + 15 -10c = -25 + 15 Combine like terms: -25 + 15 = -10 -10c = -10 Divide each side by '-10'. c = 1 Simplifying c = 1
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