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Simplifying (11c + -7d + 10) + -1(8c + -5d + -6) = 0 Reorder the terms: (10 + 11c + -7d) + -1(8c + -5d + -6) = 0 Remove parenthesis around (10 + 11c + -7d) 10 + 11c + -7d + -1(8c + -5d + -6) = 0 Reorder the terms: 10 + 11c + -7d + -1(-6 + 8c + -5d) = 0 10 + 11c + -7d + (-6 * -1 + 8c * -1 + -5d * -1) = 0 10 + 11c + -7d + (6 + -8c + 5d) = 0 Reorder the terms: 10 + 6 + 11c + -8c + -7d + 5d = 0 Combine like terms: 10 + 6 = 16 16 + 11c + -8c + -7d + 5d = 0 Combine like terms: 11c + -8c = 3c 16 + 3c + -7d + 5d = 0 Combine like terms: -7d + 5d = -2d 16 + 3c + -2d = 0 Solving 16 + 3c + -2d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 3c + -16 + -2d = 0 + -16 Reorder the terms: 16 + -16 + 3c + -2d = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 3c + -2d = 0 + -16 3c + -2d = 0 + -16 Combine like terms: 0 + -16 = -16 3c + -2d = -16 Add '2d' to each side of the equation. 3c + -2d + 2d = -16 + 2d Combine like terms: -2d + 2d = 0 3c + 0 = -16 + 2d 3c = -16 + 2d Divide each side by '3'. c = -5.333333333 + 0.6666666667d Simplifying c = -5.333333333 + 0.6666666667d
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