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Simplifying 5(c + -5d) + -2(6c + -1d) = 0 (c * 5 + -5d * 5) + -2(6c + -1d) = 0 (5c + -25d) + -2(6c + -1d) = 0 5c + -25d + (6c * -2 + -1d * -2) = 0 5c + -25d + (-12c + 2d) = 0 Reorder the terms: 5c + -12c + -25d + 2d = 0 Combine like terms: 5c + -12c = -7c -7c + -25d + 2d = 0 Combine like terms: -25d + 2d = -23d -7c + -23d = 0 Solving -7c + -23d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '23d' to each side of the equation. -7c + -23d + 23d = 0 + 23d Combine like terms: -23d + 23d = 0 -7c + 0 = 0 + 23d -7c = 0 + 23d Remove the zero: -7c = 23d Divide each side by '-7'. c = -3.285714286d Simplifying c = -3.285714286d
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