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Simplifying 2(8a + 7) + 2 = 8(a + 8) Reorder the terms: 2(7 + 8a) + 2 = 8(a + 8) (7 * 2 + 8a * 2) + 2 = 8(a + 8) (14 + 16a) + 2 = 8(a + 8) Reorder the terms: 14 + 2 + 16a = 8(a + 8) Combine like terms: 14 + 2 = 16 16 + 16a = 8(a + 8) Reorder the terms: 16 + 16a = 8(8 + a) 16 + 16a = (8 * 8 + a * 8) 16 + 16a = (64 + 8a) Solving 16 + 16a = 64 + 8a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8a' to each side of the equation. 16 + 16a + -8a = 64 + 8a + -8a Combine like terms: 16a + -8a = 8a 16 + 8a = 64 + 8a + -8a Combine like terms: 8a + -8a = 0 16 + 8a = 64 + 0 16 + 8a = 64 Add '-16' to each side of the equation. 16 + -16 + 8a = 64 + -16 Combine like terms: 16 + -16 = 0 0 + 8a = 64 + -16 8a = 64 + -16 Combine like terms: 64 + -16 = 48 8a = 48 Divide each side by '8'. a = 6 Simplifying a = 6
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