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Simplifying -6(2c + 5) = 25 + -3c Reorder the terms: -6(5 + 2c) = 25 + -3c (5 * -6 + 2c * -6) = 25 + -3c (-30 + -12c) = 25 + -3c Solving -30 + -12c = 25 + -3c Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '3c' to each side of the equation. -30 + -12c + 3c = 25 + -3c + 3c Combine like terms: -12c + 3c = -9c -30 + -9c = 25 + -3c + 3c Combine like terms: -3c + 3c = 0 -30 + -9c = 25 + 0 -30 + -9c = 25 Add '30' to each side of the equation. -30 + 30 + -9c = 25 + 30 Combine like terms: -30 + 30 = 0 0 + -9c = 25 + 30 -9c = 25 + 30 Combine like terms: 25 + 30 = 55 -9c = 55 Divide each side by '-9'. c = -6.111111111 Simplifying c = -6.111111111
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