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Simplifying 4(-5c + 8d + -8) = 0 Reorder the terms: 4(-8 + -5c + 8d) = 0 (-8 * 4 + -5c * 4 + 8d * 4) = 0 (-32 + -20c + 32d) = 0 Solving -32 + -20c + 32d = 0 Solving for variable 'c'. Move all terms containing c to the left, all other terms to the right. Add '32' to each side of the equation. -32 + -20c + 32 + 32d = 0 + 32 Reorder the terms: -32 + 32 + -20c + 32d = 0 + 32 Combine like terms: -32 + 32 = 0 0 + -20c + 32d = 0 + 32 -20c + 32d = 0 + 32 Combine like terms: 0 + 32 = 32 -20c + 32d = 32 Add '-32d' to each side of the equation. -20c + 32d + -32d = 32 + -32d Combine like terms: 32d + -32d = 0 -20c + 0 = 32 + -32d -20c = 32 + -32d Divide each side by '-20'. c = -1.6 + 1.6d Simplifying c = -1.6 + 1.6d
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