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Simplifying 2c + -5(3d + -6) + -7 = 0 Reorder the terms: 2c + -5(-6 + 3d) + -7 = 0 2c + (-6 * -5 + 3d * -5) + -7 = 0 2c + (30 + -15d) + -7 = 0 Reorder the terms: 30 + -7 + 2c + -15d = 0 Combine like terms: 30 + -7 = 23 23 + 2c + -15d = 0 Solving 23 + 2c + -15d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-23' to each side of the equation. 23 + 2c + -23 + -15d = 0 + -23 Reorder the terms: 23 + -23 + 2c + -15d = 0 + -23 Combine like terms: 23 + -23 = 0 0 + 2c + -15d = 0 + -23 2c + -15d = 0 + -23 Combine like terms: 0 + -23 = -23 2c + -15d = -23 Add '15d' to each side of the equation. 2c + -15d + 15d = -23 + 15d Combine like terms: -15d + 15d = 0 2c + 0 = -23 + 15d 2c = -23 + 15d Divide each side by '2'. c = -11.5 + 7.5d Simplifying c = -11.5 + 7.5d
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