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Simplifying 6(a + -1b) + -4(a + -1b) + (a + -1b) = 0 (a * 6 + -1b * 6) + -4(a + -1b) + (a + -1b) = 0 (6a + -6b) + -4(a + -1b) + (a + -1b) = 0 6a + -6b + (a * -4 + -1b * -4) + (a + -1b) = 0 6a + -6b + (-4a + 4b) + (a + -1b) = 0 Remove parenthesis around (a + -1b) 6a + -6b + -4a + 4b + a + -1b = 0 Reorder the terms: 6a + -4a + a + -6b + 4b + -1b = 0 Combine like terms: 6a + -4a = 2a 2a + a + -6b + 4b + -1b = 0 Combine like terms: 2a + a = 3a 3a + -6b + 4b + -1b = 0 Combine like terms: -6b + 4b = -2b 3a + -2b + -1b = 0 Combine like terms: -2b + -1b = -3b 3a + -3b = 0 Solving 3a + -3b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '3b' to each side of the equation. 3a + -3b + 3b = 0 + 3b Combine like terms: -3b + 3b = 0 3a + 0 = 0 + 3b 3a = 0 + 3b Remove the zero: 3a = 3b Divide each side by '3'. a = b Simplifying a = b
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