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Simplifying 6(a + 2) + 2(5) = 16 + -1a + 27 Reorder the terms: 6(2 + a) + 2(5) = 16 + -1a + 27 (2 * 6 + a * 6) + 2(5) = 16 + -1a + 27 (12 + 6a) + 2(5) = 16 + -1a + 27 Multiply 2 * 5 12 + 6a + 10 = 16 + -1a + 27 Reorder the terms: 12 + 10 + 6a = 16 + -1a + 27 Combine like terms: 12 + 10 = 22 22 + 6a = 16 + -1a + 27 Reorder the terms: 22 + 6a = 16 + 27 + -1a Combine like terms: 16 + 27 = 43 22 + 6a = 43 + -1a Solving 22 + 6a = 43 + -1a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add 'a' to each side of the equation. 22 + 6a + a = 43 + -1a + a Combine like terms: 6a + a = 7a 22 + 7a = 43 + -1a + a Combine like terms: -1a + a = 0 22 + 7a = 43 + 0 22 + 7a = 43 Add '-22' to each side of the equation. 22 + -22 + 7a = 43 + -22 Combine like terms: 22 + -22 = 0 0 + 7a = 43 + -22 7a = 43 + -22 Combine like terms: 43 + -22 = 21 7a = 21 Divide each side by '7'. a = 3 Simplifying a = 3
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