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Simplifying 8(1 + 5x) + 5a = 6(5a + 4) (1 * 8 + 5x * 8) + 5a = 6(5a + 4) (8 + 40x) + 5a = 6(5a + 4) Reorder the terms: 8 + 5a + 40x = 6(5a + 4) Reorder the terms: 8 + 5a + 40x = 6(4 + 5a) 8 + 5a + 40x = (4 * 6 + 5a * 6) 8 + 5a + 40x = (24 + 30a) Solving 8 + 5a + 40x = 24 + 30a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-30a' to each side of the equation. 8 + 5a + -30a + 40x = 24 + 30a + -30a Combine like terms: 5a + -30a = -25a 8 + -25a + 40x = 24 + 30a + -30a Combine like terms: 30a + -30a = 0 8 + -25a + 40x = 24 + 0 8 + -25a + 40x = 24 Add '-8' to each side of the equation. 8 + -25a + -8 + 40x = 24 + -8 Reorder the terms: 8 + -8 + -25a + 40x = 24 + -8 Combine like terms: 8 + -8 = 0 0 + -25a + 40x = 24 + -8 -25a + 40x = 24 + -8 Combine like terms: 24 + -8 = 16 -25a + 40x = 16 Add '-40x' to each side of the equation. -25a + 40x + -40x = 16 + -40x Combine like terms: 40x + -40x = 0 -25a + 0 = 16 + -40x -25a = 16 + -40x Divide each side by '-25'. a = -0.64 + 1.6x Simplifying a = -0.64 + 1.6x
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