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Simplifying 6(4a + -2b + 5) + 2(3a + -6) = 0 Reorder the terms: 6(5 + 4a + -2b) + 2(3a + -6) = 0 (5 * 6 + 4a * 6 + -2b * 6) + 2(3a + -6) = 0 (30 + 24a + -12b) + 2(3a + -6) = 0 Reorder the terms: 30 + 24a + -12b + 2(-6 + 3a) = 0 30 + 24a + -12b + (-6 * 2 + 3a * 2) = 0 30 + 24a + -12b + (-12 + 6a) = 0 Reorder the terms: 30 + -12 + 24a + 6a + -12b = 0 Combine like terms: 30 + -12 = 18 18 + 24a + 6a + -12b = 0 Combine like terms: 24a + 6a = 30a 18 + 30a + -12b = 0 Solving 18 + 30a + -12b = 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 + 30a + -18 + -12b = 0 + -18 Reorder the terms: 18 + -18 + 30a + -12b = 0 + -18 Combine like terms: 18 + -18 = 0 0 + 30a + -12b = 0 + -18 30a + -12b = 0 + -18 Combine like terms: 0 + -18 = -18 30a + -12b = -18 Add '12b' to each side of the equation. 30a + -12b + 12b = -18 + 12b Combine like terms: -12b + 12b = 0 30a + 0 = -18 + 12b 30a = -18 + 12b Divide each side by '30'. a = -0.6 + 0.4b Simplifying a = -0.6 + 0.4b
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