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Simplifying 8(a + 4) = 5a + 35 Reorder the terms: 8(4 + a) = 5a + 35 (4 * 8 + a * 8) = 5a + 35 (32 + 8a) = 5a + 35 Reorder the terms: 32 + 8a = 35 + 5a Solving 32 + 8a = 35 + 5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5a' to each side of the equation. 32 + 8a + -5a = 35 + 5a + -5a Combine like terms: 8a + -5a = 3a 32 + 3a = 35 + 5a + -5a Combine like terms: 5a + -5a = 0 32 + 3a = 35 + 0 32 + 3a = 35 Add '-32' to each side of the equation. 32 + -32 + 3a = 35 + -32 Combine like terms: 32 + -32 = 0 0 + 3a = 35 + -32 3a = 35 + -32 Combine like terms: 35 + -32 = 3 3a = 3 Divide each side by '3'. a = 1 Simplifying a = 1
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