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Simplifying -5(a + -1b) + -2(a + -1b) + 8(a + -1b) = 0 (a * -5 + -1b * -5) + -2(a + -1b) + 8(a + -1b) = 0 (-5a + 5b) + -2(a + -1b) + 8(a + -1b) = 0 -5a + 5b + (a * -2 + -1b * -2) + 8(a + -1b) = 0 -5a + 5b + (-2a + 2b) + 8(a + -1b) = 0 -5a + 5b + -2a + 2b + (a * 8 + -1b * 8) = 0 -5a + 5b + -2a + 2b + (8a + -8b) = 0 Reorder the terms: -5a + -2a + 8a + 5b + 2b + -8b = 0 Combine like terms: -5a + -2a = -7a -7a + 8a + 5b + 2b + -8b = 0 Combine like terms: -7a + 8a = 1a 1a + 5b + 2b + -8b = 0 Combine like terms: 5b + 2b = 7b 1a + 7b + -8b = 0 Combine like terms: 7b + -8b = -1b 1a + -1b = 0 Solving 1a + -1b = 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. 1a + -1b + b = 0 + b Combine like terms: -1b + b = 0 1a + 0 = 0 + b 1a = 0 + b Remove the zero: 1a = b Divide each side by '1'. a = b Simplifying a = b
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