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Simplifying 35a + 100 = 15a + 150 Reorder the terms: 100 + 35a = 15a + 150 Reorder the terms: 100 + 35a = 150 + 15a Solving 100 + 35a = 150 + 15a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-15a' to each side of the equation. 100 + 35a + -15a = 150 + 15a + -15a Combine like terms: 35a + -15a = 20a 100 + 20a = 150 + 15a + -15a Combine like terms: 15a + -15a = 0 100 + 20a = 150 + 0 100 + 20a = 150 Add '-100' to each side of the equation. 100 + -100 + 20a = 150 + -100 Combine like terms: 100 + -100 = 0 0 + 20a = 150 + -100 20a = 150 + -100 Combine like terms: 150 + -100 = 50 20a = 50 Divide each side by '20'. a = 2.5 Simplifying a = 2.5
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