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Simplifying 3(4a + -5b + 6) + -2a = 0 Reorder the terms: 3(6 + 4a + -5b) + -2a = 0 (6 * 3 + 4a * 3 + -5b * 3) + -2a = 0 (18 + 12a + -15b) + -2a = 0 Reorder the terms: 18 + 12a + -2a + -15b = 0 Combine like terms: 12a + -2a = 10a 18 + 10a + -15b = 0 Solving 18 + 10a + -15b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + 10a + -18 + -15b = 0 + -18 Reorder the terms: 18 + -18 + 10a + -15b = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 10a + -15b = 0 + -18 10a + -15b = 0 + -18 Combine like terms: 0 + -18 = -18 10a + -15b = -18 Add '15b' to each side of the equation. 10a + -15b + 15b = -18 + 15b Combine like terms: -15b + 15b = 0 10a + 0 = -18 + 15b 10a = -18 + 15b Divide each side by '10'. a = -1.8 + 1.5b Simplifying a = -1.8 + 1.5b
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