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Simplifying 5a + a + -10 = 4a + 30 Reorder the terms: -10 + 5a + a = 4a + 30 Combine like terms: 5a + a = 6a -10 + 6a = 4a + 30 Reorder the terms: -10 + 6a = 30 + 4a Solving -10 + 6a = 30 + 4a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4a' to each side of the equation. -10 + 6a + -4a = 30 + 4a + -4a Combine like terms: 6a + -4a = 2a -10 + 2a = 30 + 4a + -4a Combine like terms: 4a + -4a = 0 -10 + 2a = 30 + 0 -10 + 2a = 30 Add '10' to each side of the equation. -10 + 10 + 2a = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = 30 + 10 2a = 30 + 10 Combine like terms: 30 + 10 = 40 2a = 40 Divide each side by '2'. a = 20 Simplifying a = 20
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