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Simplifying -5 + 8(-3 + -5a) = 19 + 8a -5 + (-3 * 8 + -5a * 8) = 19 + 8a -5 + (-24 + -40a) = 19 + 8a Combine like terms: -5 + -24 = -29 -29 + -40a = 19 + 8a Solving -29 + -40a = 19 + 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. -29 + -40a + -8a = 19 + 8a + -8a Combine like terms: -40a + -8a = -48a -29 + -48a = 19 + 8a + -8a Combine like terms: 8a + -8a = 0 -29 + -48a = 19 + 0 -29 + -48a = 19 Add '29' to each side of the equation. -29 + 29 + -48a = 19 + 29 Combine like terms: -29 + 29 = 0 0 + -48a = 19 + 29 -48a = 19 + 29 Combine like terms: 19 + 29 = 48 -48a = 48 Divide each side by '-48'. a = -1 Simplifying a = -1
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