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Simplifying 102 = 8a + 5a + 3a Combine like terms: 8a + 5a = 13a 102 = 13a + 3a Combine like terms: 13a + 3a = 16a 102 = 16a Solving 102 = 16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-16a' to each side of the equation. 102 + -16a = 16a + -16a Combine like terms: 16a + -16a = 0 102 + -16a = 0 Add '-102' to each side of the equation. 102 + -102 + -16a = 0 + -102 Combine like terms: 102 + -102 = 0 0 + -16a = 0 + -102 -16a = 0 + -102 Combine like terms: 0 + -102 = -102 -16a = -102 Divide each side by '-16'. a = 6.375 Simplifying a = 6.375
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