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Simplifying 7a + -2 + -8a = 5a + 10 + -8a + 20 Reorder the terms: -2 + 7a + -8a = 5a + 10 + -8a + 20 Combine like terms: 7a + -8a = -1a -2 + -1a = 5a + 10 + -8a + 20 Reorder the terms: -2 + -1a = 10 + 20 + 5a + -8a Combine like terms: 10 + 20 = 30 -2 + -1a = 30 + 5a + -8a Combine like terms: 5a + -8a = -3a -2 + -1a = 30 + -3a Solving -2 + -1a = 30 + -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. -2 + -1a + 3a = 30 + -3a + 3a Combine like terms: -1a + 3a = 2a -2 + 2a = 30 + -3a + 3a Combine like terms: -3a + 3a = 0 -2 + 2a = 30 + 0 -2 + 2a = 30 Add '2' to each side of the equation. -2 + 2 + 2a = 30 + 2 Combine like terms: -2 + 2 = 0 0 + 2a = 30 + 2 2a = 30 + 2 Combine like terms: 30 + 2 = 32 2a = 32 Divide each side by '2'. a = 16 Simplifying a = 16
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