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Simplifying 7(2c + -3d + 5) = 0 Reorder the terms: 7(5 + 2c + -3d) = 0 (5 * 7 + 2c * 7 + -3d * 7) = 0 (35 + 14c + -21d) = 0 Solving 35 + 14c + -21d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-35' to each side of the equation. 35 + 14c + -35 + -21d = 0 + -35 Reorder the terms: 35 + -35 + 14c + -21d = 0 + -35 Combine like terms: 35 + -35 = 0 0 + 14c + -21d = 0 + -35 14c + -21d = 0 + -35 Combine like terms: 0 + -35 = -35 14c + -21d = -35 Add '21d' to each side of the equation. 14c + -21d + 21d = -35 + 21d Combine like terms: -21d + 21d = 0 14c + 0 = -35 + 21d 14c = -35 + 21d Divide each side by '14'. c = -2.5 + 1.5d Simplifying c = -2.5 + 1.5d
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