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Simplifying 45.5a + -52 = 2a + -5 Reorder the terms: -52 + 45.5a = 2a + -5 Reorder the terms: -52 + 45.5a = -5 + 2a Solving -52 + 45.5a = -5 + 2a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2a' to each side of the equation. -52 + 45.5a + -2a = -5 + 2a + -2a Combine like terms: 45.5a + -2a = 43.5a -52 + 43.5a = -5 + 2a + -2a Combine like terms: 2a + -2a = 0 -52 + 43.5a = -5 + 0 -52 + 43.5a = -5 Add '52' to each side of the equation. -52 + 52 + 43.5a = -5 + 52 Combine like terms: -52 + 52 = 0 0 + 43.5a = -5 + 52 43.5a = -5 + 52 Combine like terms: -5 + 52 = 47 43.5a = 47 Divide each side by '43.5'. a = 1.08045977 Simplifying a = 1.08045977
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