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Simplifying 10 = 6a + 4 + 9a + a Reorder the terms: 10 = 4 + 6a + 9a + a Combine like terms: 6a + 9a = 15a 10 = 4 + 15a + a Combine like terms: 15a + a = 16a 10 = 4 + 16a Solving 10 = 4 + 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. 10 + -16a = 4 + 16a + -16a Combine like terms: 16a + -16a = 0 10 + -16a = 4 + 0 10 + -16a = 4 Add '-10' to each side of the equation. 10 + -10 + -16a = 4 + -10 Combine like terms: 10 + -10 = 0 0 + -16a = 4 + -10 -16a = 4 + -10 Combine like terms: 4 + -10 = -6 -16a = -6 Divide each side by '-16'. a = 0.375 Simplifying a = 0.375
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