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Simplifying 16 + 8a = 6 + 7(a + 4) Reorder the terms: 16 + 8a = 6 + 7(4 + a) 16 + 8a = 6 + (4 * 7 + a * 7) 16 + 8a = 6 + (28 + 7a) Combine like terms: 6 + 28 = 34 16 + 8a = 34 + 7a Solving 16 + 8a = 34 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. 16 + 8a + -7a = 34 + 7a + -7a Combine like terms: 8a + -7a = 1a 16 + 1a = 34 + 7a + -7a Combine like terms: 7a + -7a = 0 16 + 1a = 34 + 0 16 + 1a = 34 Add '-16' to each side of the equation. 16 + -16 + 1a = 34 + -16 Combine like terms: 16 + -16 = 0 0 + 1a = 34 + -16 1a = 34 + -16 Combine like terms: 34 + -16 = 18 1a = 18 Divide each side by '1'. a = 18 Simplifying a = 18
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