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Simplifying 2a + 5a + -10 = 3a + 20 Reorder the terms: -10 + 2a + 5a = 3a + 20 Combine like terms: 2a + 5a = 7a -10 + 7a = 3a + 20 Reorder the terms: -10 + 7a = 20 + 3a Solving -10 + 7a = 20 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. -10 + 7a + -3a = 20 + 3a + -3a Combine like terms: 7a + -3a = 4a -10 + 4a = 20 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + 4a = 20 + 0 -10 + 4a = 20 Add '10' to each side of the equation. -10 + 10 + 4a = 20 + 10 Combine like terms: -10 + 10 = 0 0 + 4a = 20 + 10 4a = 20 + 10 Combine like terms: 20 + 10 = 30 4a = 30 Divide each side by '4'. a = 7.5 Simplifying a = 7.5
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