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Simplifying 8(a + 4) = 2(a + 31) Reorder the terms: 8(4 + a) = 2(a + 31) (4 * 8 + a * 8) = 2(a + 31) (32 + 8a) = 2(a + 31) Reorder the terms: 32 + 8a = 2(31 + a) 32 + 8a = (31 * 2 + a * 2) 32 + 8a = (62 + 2a) Solving 32 + 8a = 62 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. 32 + 8a + -2a = 62 + 2a + -2a Combine like terms: 8a + -2a = 6a 32 + 6a = 62 + 2a + -2a Combine like terms: 2a + -2a = 0 32 + 6a = 62 + 0 32 + 6a = 62 Add '-32' to each side of the equation. 32 + -32 + 6a = 62 + -32 Combine like terms: 32 + -32 = 0 0 + 6a = 62 + -32 6a = 62 + -32 Combine like terms: 62 + -32 = 30 6a = 30 Divide each side by '6'. a = 5 Simplifying a = 5
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