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Simplifying a + -5.5 + 2a = 18 + 40a + 8 Reorder the terms: -5.5 + a + 2a = 18 + 40a + 8 Combine like terms: a + 2a = 3a -5.5 + 3a = 18 + 40a + 8 Reorder the terms: -5.5 + 3a = 18 + 8 + 40a Combine like terms: 18 + 8 = 26 -5.5 + 3a = 26 + 40a Solving -5.5 + 3a = 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. -5.5 + 3a + -40a = 26 + 40a + -40a Combine like terms: 3a + -40a = -37a -5.5 + -37a = 26 + 40a + -40a Combine like terms: 40a + -40a = 0 -5.5 + -37a = 26 + 0 -5.5 + -37a = 26 Add '5.5' to each side of the equation. -5.5 + 5.5 + -37a = 26 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + -37a = 26 + 5.5 -37a = 26 + 5.5 Combine like terms: 26 + 5.5 = 31.5 -37a = 31.5 Divide each side by '-37'. a = -0.8513513514 Simplifying a = -0.8513513514
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