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Simplifying (-2c + 3d)(-5) + 3(-2c) + -1(-8d) = 0 Reorder the terms for easier multiplication: -5(-2c + 3d) + 3(-2c) + -1(-8d) = 0 (-2c * -5 + 3d * -5) + 3(-2c) + -1(-8d) = 0 (10c + -15d) + 3(-2c) + -1(-8d) = 0 Remove parenthesis around (-2c) 10c + -15d + 3 * -2c + -1(-8d) = 0 Multiply 3 * -2 10c + -15d + -6c + -1(-8d) = 0 Remove parenthesis around (-8d) 10c + -15d + -6c + -1 * -8d = 0 Multiply -1 * -8 10c + -15d + -6c + 8d = 0 Reorder the terms: 10c + -6c + -15d + 8d = 0 Combine like terms: 10c + -6c = 4c 4c + -15d + 8d = 0 Combine like terms: -15d + 8d = -7d 4c + -7d = 0 Solving 4c + -7d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '7d' to each side of the equation. 4c + -7d + 7d = 0 + 7d Combine like terms: -7d + 7d = 0 4c + 0 = 0 + 7d 4c = 0 + 7d Remove the zero: 4c = 7d Divide each side by '4'. c = 1.75d Simplifying c = 1.75d
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