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Simplifying 5a + -10 + -3a = 4a + -1a + 16 + -3a Reorder the terms: -10 + 5a + -3a = 4a + -1a + 16 + -3a Combine like terms: 5a + -3a = 2a -10 + 2a = 4a + -1a + 16 + -3a Reorder the terms: -10 + 2a = 16 + 4a + -1a + -3a Combine like terms: 4a + -1a = 3a -10 + 2a = 16 + 3a + -3a Combine like terms: 3a + -3a = 0 -10 + 2a = 16 + 0 -10 + 2a = 16 Solving -10 + 2a = 16 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2a = 16 + 10 Combine like terms: -10 + 10 = 0 0 + 2a = 16 + 10 2a = 16 + 10 Combine like terms: 16 + 10 = 26 2a = 26 Divide each side by '2'. a = 13 Simplifying a = 13
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