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Simplifying 6(5a + -1a) + 4(2 + 4b) = 0 Combine like terms: 5a + -1a = 4a 6(4a) + 4(2 + 4b) = 0 Remove parenthesis around (4a) 6 * 4a + 4(2 + 4b) = 0 Multiply 6 * 4 24a + 4(2 + 4b) = 0 24a + (2 * 4 + 4b * 4) = 0 24a + (8 + 16b) = 0 Reorder the terms: 8 + 24a + 16b = 0 Solving 8 + 24a + 16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + 24a + -8 + 16b = 0 + -8 Reorder the terms: 8 + -8 + 24a + 16b = 0 + -8 Combine like terms: 8 + -8 = 0 0 + 24a + 16b = 0 + -8 24a + 16b = 0 + -8 Combine like terms: 0 + -8 = -8 24a + 16b = -8 Add '-16b' to each side of the equation. 24a + 16b + -16b = -8 + -16b Combine like terms: 16b + -16b = 0 24a + 0 = -8 + -16b 24a = -8 + -16b Divide each side by '24'. a = -0.3333333333 + -0.6666666667b Simplifying a = -0.3333333333 + -0.6666666667b
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