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Simplifying 5c(a3 + b) + -1(a3 + b) = 0 (a3 * 5c + b * 5c) + -1(a3 + b) = 0 (5a3c + 5bc) + -1(a3 + b) = 0 5a3c + 5bc + (a3 * -1 + b * -1) = 0 5a3c + 5bc + (-1a3 + -1b) = 0 Reorder the terms: -1a3 + 5a3c + -1b + 5bc = 0 Solving -1a3 + 5a3c + -1b + 5bc = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'b' to each side of the equation. -1a3 + 5a3c + -1b + b + 5bc = 0 + b Combine like terms: -1b + b = 0 -1a3 + 5a3c + 0 + 5bc = 0 + b -1a3 + 5a3c + 5bc = 0 + b Remove the zero: -1a3 + 5a3c + 5bc = b Add '-5bc' to each side of the equation. -1a3 + 5a3c + 5bc + -5bc = b + -5bc Combine like terms: 5bc + -5bc = 0 -1a3 + 5a3c + 0 = b + -5bc -1a3 + 5a3c = b + -5bc Reorder the terms: -1a3 + 5a3c + -1b + 5bc = b + -1b + -5bc + 5bc Combine like terms: b + -1b = 0 -1a3 + 5a3c + -1b + 5bc = 0 + -5bc + 5bc -1a3 + 5a3c + -1b + 5bc = -5bc + 5bc Combine like terms: -5bc + 5bc = 0 -1a3 + 5a3c + -1b + 5bc = 0 The solution to this equation could not be determined.
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