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Simplifying 2(4a + 3b) + 4 + 2(5b) = 0 (4a * 2 + 3b * 2) + 4 + 2(5b) = 0 (8a + 6b) + 4 + 2(5b) = 0 Remove parenthesis around (5b) 8a + 6b + 4 + 2 * 5b = 0 Multiply 2 * 5 8a + 6b + 4 + 10b = 0 Reorder the terms: 4 + 8a + 6b + 10b = 0 Combine like terms: 6b + 10b = 16b 4 + 8a + 16b = 0 Solving 4 + 8a + 16b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + 8a + -4 + 16b = 0 + -4 Reorder the terms: 4 + -4 + 8a + 16b = 0 + -4 Combine like terms: 4 + -4 = 0 0 + 8a + 16b = 0 + -4 8a + 16b = 0 + -4 Combine like terms: 0 + -4 = -4 8a + 16b = -4 Add '-16b' to each side of the equation. 8a + 16b + -16b = -4 + -16b Combine like terms: 16b + -16b = 0 8a + 0 = -4 + -16b 8a = -4 + -16b Divide each side by '8'. a = -0.5 + -2b Simplifying a = -0.5 + -2b
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