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Simplifying 3(3 + -1a) + 2(5 + -1b) = 0 (3 * 3 + -1a * 3) + 2(5 + -1b) = 0 (9 + -3a) + 2(5 + -1b) = 0 9 + -3a + (5 * 2 + -1b * 2) = 0 9 + -3a + (10 + -2b) = 0 Reorder the terms: 9 + 10 + -3a + -2b = 0 Combine like terms: 9 + 10 = 19 19 + -3a + -2b = 0 Solving 19 + -3a + -2b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19' to each side of the equation. 19 + -3a + -19 + -2b = 0 + -19 Reorder the terms: 19 + -19 + -3a + -2b = 0 + -19 Combine like terms: 19 + -19 = 0 0 + -3a + -2b = 0 + -19 -3a + -2b = 0 + -19 Combine like terms: 0 + -19 = -19 -3a + -2b = -19 Add '2b' to each side of the equation. -3a + -2b + 2b = -19 + 2b Combine like terms: -2b + 2b = 0 -3a + 0 = -19 + 2b -3a = -19 + 2b Divide each side by '-3'. a = 6.333333333 + -0.6666666667b Simplifying a = 6.333333333 + -0.6666666667b
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