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Simplifying 3a(x + -1y) + -5a(y + -1x) = 8ax + -8ay (x * 3a + -1y * 3a) + -5a(y + -1x) = 8ax + -8ay (3ax + -3ay) + -5a(y + -1x) = 8ax + -8ay Reorder the terms: 3ax + -3ay + -5a(-1x + y) = 8ax + -8ay 3ax + -3ay + (-1x * -5a + y * -5a) = 8ax + -8ay 3ax + -3ay + (5ax + -5ay) = 8ax + -8ay Reorder the terms: 3ax + 5ax + -3ay + -5ay = 8ax + -8ay Combine like terms: 3ax + 5ax = 8ax 8ax + -3ay + -5ay = 8ax + -8ay Combine like terms: -3ay + -5ay = -8ay 8ax + -8ay = 8ax + -8ay Add '-8ax' to each side of the equation. 8ax + -8ax + -8ay = 8ax + -8ax + -8ay Combine like terms: 8ax + -8ax = 0 0 + -8ay = 8ax + -8ax + -8ay -8ay = 8ax + -8ax + -8ay Combine like terms: 8ax + -8ax = 0 -8ay = 0 + -8ay -8ay = -8ay Add '8ay' to each side of the equation. -8ay + 8ay = -8ay + 8ay Combine like terms: -8ay + 8ay = 0 0 = -8ay + 8ay Combine like terms: -8ay + 8ay = 0 0 = 0 Solving 0 = 0 Couldn't find a variable to solve for. This equation is an identity, all real numbers are solutions.
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