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Simplifying 3(3a + -5b) + -1(a + -7b) = 0 (3a * 3 + -5b * 3) + -1(a + -7b) = 0 (9a + -15b) + -1(a + -7b) = 0 9a + -15b + (a * -1 + -7b * -1) = 0 9a + -15b + (-1a + 7b) = 0 Reorder the terms: 9a + -1a + -15b + 7b = 0 Combine like terms: 9a + -1a = 8a 8a + -15b + 7b = 0 Combine like terms: -15b + 7b = -8b 8a + -8b = 0 Solving 8a + -8b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8b' to each side of the equation. 8a + -8b + 8b = 0 + 8b Combine like terms: -8b + 8b = 0 8a + 0 = 0 + 8b 8a = 0 + 8b Remove the zero: 8a = 8b Divide each side by '8'. a = b Simplifying a = b
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