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Simplifying (a + -2b) + -1(5a + -6b) = 0 Remove parenthesis around (a + -2b) a + -2b + -1(5a + -6b) = 0 a + -2b + (5a * -1 + -6b * -1) = 0 a + -2b + (-5a + 6b) = 0 Reorder the terms: a + -5a + -2b + 6b = 0 Combine like terms: a + -5a = -4a -4a + -2b + 6b = 0 Combine like terms: -2b + 6b = 4b -4a + 4b = 0 Solving -4a + 4b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4b' to each side of the equation. -4a + 4b + -4b = 0 + -4b Combine like terms: 4b + -4b = 0 -4a + 0 = 0 + -4b -4a = 0 + -4b Remove the zero: -4a = -4b Divide each side by '-4'. a = b Simplifying a = b
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