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Simplifying 2a + 19 = 3 + 8(a + s) Reorder the terms: 19 + 2a = 3 + 8(a + s) 19 + 2a = 3 + (a * 8 + s * 8) 19 + 2a = 3 + (8a + 8s) Solving 19 + 2a = 3 + 8a + 8s 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 = 3 + 8a + -8a + 8s Combine like terms: 2a + -8a = -6a 19 + -6a = 3 + 8a + -8a + 8s Combine like terms: 8a + -8a = 0 19 + -6a = 3 + 0 + 8s 19 + -6a = 3 + 8s Add '-19' to each side of the equation. 19 + -19 + -6a = 3 + -19 + 8s Combine like terms: 19 + -19 = 0 0 + -6a = 3 + -19 + 8s -6a = 3 + -19 + 8s Combine like terms: 3 + -19 = -16 -6a = -16 + 8s Divide each side by '-6'. a = 2.666666667 + -1.333333333s Simplifying a = 2.666666667 + -1.333333333s
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