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Simplifying 19 + -5a = 8(6a + 3) + -5 Reorder the terms: 19 + -5a = 8(3 + 6a) + -5 19 + -5a = (3 * 8 + 6a * 8) + -5 19 + -5a = (24 + 48a) + -5 Reorder the terms: 19 + -5a = 24 + -5 + 48a Combine like terms: 24 + -5 = 19 19 + -5a = 19 + 48a Add '-19' to each side of the equation. 19 + -19 + -5a = 19 + -19 + 48a Combine like terms: 19 + -19 = 0 0 + -5a = 19 + -19 + 48a -5a = 19 + -19 + 48a Combine like terms: 19 + -19 = 0 -5a = 0 + 48a -5a = 48a Solving -5a = 48a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-48a' to each side of the equation. -5a + -48a = 48a + -48a Combine like terms: -5a + -48a = -53a -53a = 48a + -48a Combine like terms: 48a + -48a = 0 -53a = 0 Divide each side by '-53'. a = 0 Simplifying a = 0
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