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Simplifying 5a + 10 = 9a + 16 Reorder the terms: 10 + 5a = 9a + 16 Reorder the terms: 10 + 5a = 16 + 9a Solving 10 + 5a = 16 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 10 + 5a + -9a = 16 + 9a + -9a Combine like terms: 5a + -9a = -4a 10 + -4a = 16 + 9a + -9a Combine like terms: 9a + -9a = 0 10 + -4a = 16 + 0 10 + -4a = 16 Add '-10' to each side of the equation. 10 + -10 + -4a = 16 + -10 Combine like terms: 10 + -10 = 0 0 + -4a = 16 + -10 -4a = 16 + -10 Combine like terms: 16 + -10 = 6 -4a = 6 Divide each side by '-4'. a = -1.5 Simplifying a = -1.5
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