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Simplifying 4(a + b + -1c) = ax + b + -1cy (a * 4 + b * 4 + -1c * 4) = ax + b + -1cy (4a + 4b + -4c) = ax + b + -1cy Solving 4a + 4b + -4c = ax + b + -1cy Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1ax' to each side of the equation. 4a + 4b + -1ax + -4c = ax + b + -1ax + -1cy Reorder the terms: 4a + -1ax + 4b + -4c = ax + b + -1ax + -1cy Reorder the terms: 4a + -1ax + 4b + -4c = ax + -1ax + b + -1cy Combine like terms: ax + -1ax = 0 4a + -1ax + 4b + -4c = 0 + b + -1cy 4a + -1ax + 4b + -4c = b + -1cy Add '-4b' to each side of the equation. 4a + -1ax + 4b + -4b + -4c = b + -4b + -1cy Combine like terms: 4b + -4b = 0 4a + -1ax + 0 + -4c = b + -4b + -1cy 4a + -1ax + -4c = b + -4b + -1cy Combine like terms: b + -4b = -3b 4a + -1ax + -4c = -3b + -1cy Add '4c' to each side of the equation. 4a + -1ax + -4c + 4c = -3b + 4c + -1cy Combine like terms: -4c + 4c = 0 4a + -1ax + 0 = -3b + 4c + -1cy 4a + -1ax = -3b + 4c + -1cy Reorder the terms: 4a + -1ax + 3b + -4c + cy = -3b + 3b + 4c + -4c + -1cy + cy Combine like terms: -3b + 3b = 0 4a + -1ax + 3b + -4c + cy = 0 + 4c + -4c + -1cy + cy 4a + -1ax + 3b + -4c + cy = 4c + -4c + -1cy + cy Combine like terms: 4c + -4c = 0 4a + -1ax + 3b + -4c + cy = 0 + -1cy + cy 4a + -1ax + 3b + -4c + cy = -1cy + cy Combine like terms: -1cy + cy = 0 4a + -1ax + 3b + -4c + cy = 0 The solution to this equation could not be determined.
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