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Simplifying 5a + 38 = -8(8 + -7a) Reorder the terms: 38 + 5a = -8(8 + -7a) 38 + 5a = (8 * -8 + -7a * -8) 38 + 5a = (-64 + 56a) Solving 38 + 5a = -64 + 56a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-56a' to each side of the equation. 38 + 5a + -56a = -64 + 56a + -56a Combine like terms: 5a + -56a = -51a 38 + -51a = -64 + 56a + -56a Combine like terms: 56a + -56a = 0 38 + -51a = -64 + 0 38 + -51a = -64 Add '-38' to each side of the equation. 38 + -38 + -51a = -64 + -38 Combine like terms: 38 + -38 = 0 0 + -51a = -64 + -38 -51a = -64 + -38 Combine like terms: -64 + -38 = -102 -51a = -102 Divide each side by '-51'. a = 2 Simplifying a = 2
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