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Simplifying 2(c + -6d2) + -5(3c + -1d2) = 0 (c * 2 + -6d2 * 2) + -5(3c + -1d2) = 0 (2c + -12d2) + -5(3c + -1d2) = 0 2c + -12d2 + (3c * -5 + -1d2 * -5) = 0 2c + -12d2 + (-15c + 5d2) = 0 Reorder the terms: 2c + -15c + -12d2 + 5d2 = 0 Combine like terms: 2c + -15c = -13c -13c + -12d2 + 5d2 = 0 Combine like terms: -12d2 + 5d2 = -7d2 -13c + -7d2 = 0 Solving -13c + -7d2 = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7d2' to each side of the equation. -13c + -7d2 + 7d2 = 0 + 7d2 Combine like terms: -7d2 + 7d2 = 0 -13c + 0 = 0 + 7d2 -13c = 0 + 7d2 Remove the zero: -13c = 7d2 Divide each side by '-13'. c = -0.5384615385d2 Simplifying c = -0.5384615385d2
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