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Simplifying 3(a + -5b) + 3(a + -1b) = 0 (a * 3 + -5b * 3) + 3(a + -1b) = 0 (3a + -15b) + 3(a + -1b) = 0 3a + -15b + (a * 3 + -1b * 3) = 0 3a + -15b + (3a + -3b) = 0 Reorder the terms: 3a + 3a + -15b + -3b = 0 Combine like terms: 3a + 3a = 6a 6a + -15b + -3b = 0 Combine like terms: -15b + -3b = -18b 6a + -18b = 0 Solving 6a + -18b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '18b' to each side of the equation. 6a + -18b + 18b = 0 + 18b Combine like terms: -18b + 18b = 0 6a + 0 = 0 + 18b 6a = 0 + 18b Remove the zero: 6a = 18b Divide each side by '6'. a = 3b Simplifying a = 3b
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