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Simplifying 9 + -5.5 + 2a = 18 + 40a + 8 Combine like terms: 9 + -5.5 = 3.5 3.5 + 2a = 18 + 40a + 8 Reorder the terms: 3.5 + 2a = 18 + 8 + 40a Combine like terms: 18 + 8 = 26 3.5 + 2a = 26 + 40a Solving 3.5 + 2a = 26 + 40a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-40a' to each side of the equation. 3.5 + 2a + -40a = 26 + 40a + -40a Combine like terms: 2a + -40a = -38a 3.5 + -38a = 26 + 40a + -40a Combine like terms: 40a + -40a = 0 3.5 + -38a = 26 + 0 3.5 + -38a = 26 Add '-3.5' to each side of the equation. 3.5 + -3.5 + -38a = 26 + -3.5 Combine like terms: 3.5 + -3.5 = 0.0 0.0 + -38a = 26 + -3.5 -38a = 26 + -3.5 Combine like terms: 26 + -3.5 = 22.5 -38a = 22.5 Divide each side by '-38'. a = -0.5921052632 Simplifying a = -0.5921052632
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