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Simplifying -5a + -3(8a + -17) = 11 + -19a Reorder the terms: -5a + -3(-17 + 8a) = 11 + -19a -5a + (-17 * -3 + 8a * -3) = 11 + -19a -5a + (51 + -24a) = 11 + -19a Reorder the terms: 51 + -5a + -24a = 11 + -19a Combine like terms: -5a + -24a = -29a 51 + -29a = 11 + -19a Solving 51 + -29a = 11 + -19a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '19a' to each side of the equation. 51 + -29a + 19a = 11 + -19a + 19a Combine like terms: -29a + 19a = -10a 51 + -10a = 11 + -19a + 19a Combine like terms: -19a + 19a = 0 51 + -10a = 11 + 0 51 + -10a = 11 Add '-51' to each side of the equation. 51 + -51 + -10a = 11 + -51 Combine like terms: 51 + -51 = 0 0 + -10a = 11 + -51 -10a = 11 + -51 Combine like terms: 11 + -51 = -40 -10a = -40 Divide each side by '-10'. a = 4 Simplifying a = 4
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