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Simplifying 6(3a + -2b + 4) + 2(5a + -5) = 0 Reorder the terms: 6(4 + 3a + -2b) + 2(5a + -5) = 0 (4 * 6 + 3a * 6 + -2b * 6) + 2(5a + -5) = 0 (24 + 18a + -12b) + 2(5a + -5) = 0 Reorder the terms: 24 + 18a + -12b + 2(-5 + 5a) = 0 24 + 18a + -12b + (-5 * 2 + 5a * 2) = 0 24 + 18a + -12b + (-10 + 10a) = 0 Reorder the terms: 24 + -10 + 18a + 10a + -12b = 0 Combine like terms: 24 + -10 = 14 14 + 18a + 10a + -12b = 0 Combine like terms: 18a + 10a = 28a 14 + 28a + -12b = 0 Solving 14 + 28a + -12b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 28a + -14 + -12b = 0 + -14 Reorder the terms: 14 + -14 + 28a + -12b = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 28a + -12b = 0 + -14 28a + -12b = 0 + -14 Combine like terms: 0 + -14 = -14 28a + -12b = -14 Add '12b' to each side of the equation. 28a + -12b + 12b = -14 + 12b Combine like terms: -12b + 12b = 0 28a + 0 = -14 + 12b 28a = -14 + 12b Divide each side by '28'. a = -0.5 + 0.4285714286b Simplifying a = -0.5 + 0.4285714286b
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