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Simplifying 2a + -1a + -8 = 15 + 3a Reorder the terms: -8 + 2a + -1a = 15 + 3a Combine like terms: 2a + -1a = 1a -8 + 1a = 15 + 3a Solving -8 + 1a = 15 + 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. -8 + 1a + -3a = 15 + 3a + -3a Combine like terms: 1a + -3a = -2a -8 + -2a = 15 + 3a + -3a Combine like terms: 3a + -3a = 0 -8 + -2a = 15 + 0 -8 + -2a = 15 Add '8' to each side of the equation. -8 + 8 + -2a = 15 + 8 Combine like terms: -8 + 8 = 0 0 + -2a = 15 + 8 -2a = 15 + 8 Combine like terms: 15 + 8 = 23 -2a = 23 Divide each side by '-2'. a = -11.5 Simplifying a = -11.5
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