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Simplifying -7c + -1(-3d + -5) + (14c + -4) = 0 Reorder the terms: -7c + -1(-5 + -3d) + (14c + -4) = 0 -7c + (-5 * -1 + -3d * -1) + (14c + -4) = 0 -7c + (5 + 3d) + (14c + -4) = 0 Reorder the terms: -7c + 5 + 3d + (-4 + 14c) = 0 Remove parenthesis around (-4 + 14c) -7c + 5 + 3d + -4 + 14c = 0 Reorder the terms: 5 + -4 + -7c + 14c + 3d = 0 Combine like terms: 5 + -4 = 1 1 + -7c + 14c + 3d = 0 Combine like terms: -7c + 14c = 7c 1 + 7c + 3d = 0 Solving 1 + 7c + 3d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1' to each side of the equation. 1 + 7c + -1 + 3d = 0 + -1 Reorder the terms: 1 + -1 + 7c + 3d = 0 + -1 Combine like terms: 1 + -1 = 0 0 + 7c + 3d = 0 + -1 7c + 3d = 0 + -1 Combine like terms: 0 + -1 = -1 7c + 3d = -1 Add '-3d' to each side of the equation. 7c + 3d + -3d = -1 + -3d Combine like terms: 3d + -3d = 0 7c + 0 = -1 + -3d 7c = -1 + -3d Divide each side by '7'. c = -0.1428571429 + -0.4285714286d Simplifying c = -0.1428571429 + -0.4285714286d
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