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Simplifying 4c + 7u + -3(c + 2u) + -1l + 2(l + 4r) = 0 4c + 7u + (c * -3 + 2u * -3) + -1l + 2(l + 4r) = 0 4c + 7u + (-3c + -6u) + -1l + 2(l + 4r) = 0 4c + 7u + -3c + -6u + -1l + (l * 2 + 4r * 2) = 0 4c + 7u + -3c + -6u + -1l + (2l + 8r) = 0 Reorder the terms: 4c + -3c + -1l + 2l + 8r + 7u + -6u = 0 Combine like terms: 4c + -3c = 1c 1c + -1l + 2l + 8r + 7u + -6u = 0 Combine like terms: -1l + 2l = 1l 1c + 1l + 8r + 7u + -6u = 0 Combine like terms: 7u + -6u = 1u 1c + 1l + 8r + 1u = 0 Solving 1c + 1l + 8r + 1u = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '-1l' to each side of the equation. 1c + 1l + 8r + -1l + 1u = 0 + -1l Reorder the terms: 1c + 1l + -1l + 8r + 1u = 0 + -1l Combine like terms: 1l + -1l = 0 1c + 0 + 8r + 1u = 0 + -1l 1c + 8r + 1u = 0 + -1l Remove the zero: 1c + 8r + 1u = -1l Add '-8r' to each side of the equation. 1c + 8r + -8r + 1u = -1l + -8r Combine like terms: 8r + -8r = 0 1c + 0 + 1u = -1l + -8r 1c + 1u = -1l + -8r Add '-1u' to each side of the equation. 1c + 1u + -1u = -1l + -8r + -1u Combine like terms: 1u + -1u = 0 1c + 0 = -1l + -8r + -1u 1c = -1l + -8r + -1u Divide each side by '1'. c = -1l + -8r + -1u Simplifying c = -1l + -8r + -1u
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