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Simplifying 12(a + -1b) + (a + -1b) = 0 (a * 12 + -1b * 12) + (a + -1b) = 0 (12a + -12b) + (a + -1b) = 0 Remove parenthesis around (a + -1b) 12a + -12b + a + -1b = 0 Reorder the terms: 12a + a + -12b + -1b = 0 Combine like terms: 12a + a = 13a 13a + -12b + -1b = 0 Combine like terms: -12b + -1b = -13b 13a + -13b = 0 Solving 13a + -13b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '13b' to each side of the equation. 13a + -13b + 13b = 0 + 13b Combine like terms: -13b + 13b = 0 13a + 0 = 0 + 13b 13a = 0 + 13b Remove the zero: 13a = 13b Divide each side by '13'. a = b Simplifying a = b
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