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Simplifying (-2)(3 + -1c) + (-2 + 5c + -4d) + -3(-1d + -1c + 1) = 0 (3 * -2 + -1c * -2) + (-2 + 5c + -4d) + -3(-1d + -1c + 1) = 0 (-6 + 2c) + (-2 + 5c + -4d) + -3(-1d + -1c + 1) = 0 Remove parenthesis around (-2 + 5c + -4d) -6 + 2c + -2 + 5c + -4d + -3(-1d + -1c + 1) = 0 Reorder the terms: -6 + 2c + -2 + 5c + -4d + -3(1 + -1c + -1d) = 0 -6 + 2c + -2 + 5c + -4d + (1 * -3 + -1c * -3 + -1d * -3) = 0 -6 + 2c + -2 + 5c + -4d + (-3 + 3c + 3d) = 0 Reorder the terms: -6 + -2 + -3 + 2c + 5c + 3c + -4d + 3d = 0 Combine like terms: -6 + -2 = -8 -8 + -3 + 2c + 5c + 3c + -4d + 3d = 0 Combine like terms: -8 + -3 = -11 -11 + 2c + 5c + 3c + -4d + 3d = 0 Combine like terms: 2c + 5c = 7c -11 + 7c + 3c + -4d + 3d = 0 Combine like terms: 7c + 3c = 10c -11 + 10c + -4d + 3d = 0 Combine like terms: -4d + 3d = -1d -11 + 10c + -1d = 0 Solving -11 + 10c + -1d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 10c + 11 + -1d = 0 + 11 Reorder the terms: -11 + 11 + 10c + -1d = 0 + 11 Combine like terms: -11 + 11 = 0 0 + 10c + -1d = 0 + 11 10c + -1d = 0 + 11 Combine like terms: 0 + 11 = 11 10c + -1d = 11 Add 'd' to each side of the equation. 10c + -1d + d = 11 + d Combine like terms: -1d + d = 0 10c + 0 = 11 + d 10c = 11 + d Divide each side by '10'. c = 1.1 + 0.1d Simplifying c = 1.1 + 0.1d
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