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Simplifying 5(3a + -3b) + -3(a + -1b) = 0 (3a * 5 + -3b * 5) + -3(a + -1b) = 0 (15a + -15b) + -3(a + -1b) = 0 15a + -15b + (a * -3 + -1b * -3) = 0 15a + -15b + (-3a + 3b) = 0 Reorder the terms: 15a + -3a + -15b + 3b = 0 Combine like terms: 15a + -3a = 12a 12a + -15b + 3b = 0 Combine like terms: -15b + 3b = -12b 12a + -12b = 0 Solving 12a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '12b' to each side of the equation. 12a + -12b + 12b = 0 + 12b Combine like terms: -12b + 12b = 0 12a + 0 = 0 + 12b 12a = 0 + 12b Remove the zero: 12a = 12b Divide each side by '12'. a = b Simplifying a = b
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