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Simplifying 35 + -6a = 4(8a + 5) Reorder the terms: 35 + -6a = 4(5 + 8a) 35 + -6a = (5 * 4 + 8a * 4) 35 + -6a = (20 + 32a) Solving 35 + -6a = 20 + 32a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-32a' to each side of the equation. 35 + -6a + -32a = 20 + 32a + -32a Combine like terms: -6a + -32a = -38a 35 + -38a = 20 + 32a + -32a Combine like terms: 32a + -32a = 0 35 + -38a = 20 + 0 35 + -38a = 20 Add '-35' to each side of the equation. 35 + -35 + -38a = 20 + -35 Combine like terms: 35 + -35 = 0 0 + -38a = 20 + -35 -38a = 20 + -35 Combine like terms: 20 + -35 = -15 -38a = -15 Divide each side by '-38'. a = 0.3947368421 Simplifying a = 0.3947368421
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