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Simplifying 5(c + -5d2) + -2(6c + -1d2) = 0 (c * 5 + -5d2 * 5) + -2(6c + -1d2) = 0 (5c + -25d2) + -2(6c + -1d2) = 0 5c + -25d2 + (6c * -2 + -1d2 * -2) = 0 5c + -25d2 + (-12c + 2d2) = 0 Reorder the terms: 5c + -12c + -25d2 + 2d2 = 0 Combine like terms: 5c + -12c = -7c -7c + -25d2 + 2d2 = 0 Combine like terms: -25d2 + 2d2 = -23d2 -7c + -23d2 = 0 Solving -7c + -23d2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '23d2' to each side of the equation. -7c + -23d2 + 23d2 = 0 + 23d2 Combine like terms: -23d2 + 23d2 = 0 -7c + 0 = 0 + 23d2 -7c = 0 + 23d2 Remove the zero: -7c = 23d2 Divide each side by '-7'. c = -3.285714286d2 Simplifying c = -3.285714286d2
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