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Simplifying 2a + 19 = 3 + 8(a + 5) Reorder the terms: 19 + 2a = 3 + 8(a + 5) Reorder the terms: 19 + 2a = 3 + 8(5 + a) 19 + 2a = 3 + (5 * 8 + a * 8) 19 + 2a = 3 + (40 + 8a) Combine like terms: 3 + 40 = 43 19 + 2a = 43 + 8a Solving 19 + 2a = 43 + 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. 19 + 2a + -8a = 43 + 8a + -8a Combine like terms: 2a + -8a = -6a 19 + -6a = 43 + 8a + -8a Combine like terms: 8a + -8a = 0 19 + -6a = 43 + 0 19 + -6a = 43 Add '-19' to each side of the equation. 19 + -19 + -6a = 43 + -19 Combine like terms: 19 + -19 = 0 0 + -6a = 43 + -19 -6a = 43 + -19 Combine like terms: 43 + -19 = 24 -6a = 24 Divide each side by '-6'. a = -4 Simplifying a = -4
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