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Simplifying 8(a + 3b + 8 + 4a) = 0 Reorder the terms: 8(8 + a + 4a + 3b) = 0 Combine like terms: a + 4a = 5a 8(8 + 5a + 3b) = 0 (8 * 8 + 5a * 8 + 3b * 8) = 0 (64 + 40a + 24b) = 0 Solving 64 + 40a + 24b = 0 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-64' to each side of the equation. 64 + 40a + -64 + 24b = 0 + -64 Reorder the terms: 64 + -64 + 40a + 24b = 0 + -64 Combine like terms: 64 + -64 = 0 0 + 40a + 24b = 0 + -64 40a + 24b = 0 + -64 Combine like terms: 0 + -64 = -64 40a + 24b = -64 Add '-24b' to each side of the equation. 40a + 24b + -24b = -64 + -24b Combine like terms: 24b + -24b = 0 40a + 0 = -64 + -24b 40a = -64 + -24b Divide each side by '40'. a = -1.6 + -0.6b Simplifying a = -1.6 + -0.6b
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