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