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Simplifying 15.64 = 20.1 + a(19.49) Reorder the terms for easier multiplication: 15.64 = 20.1 + 19.49a Solving 15.64 = 20.1 + 19.49a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-19.49a' to each side of the equation. 15.64 + -19.49a = 20.1 + 19.49a + -19.49a Combine like terms: 19.49a + -19.49a = 0.00 15.64 + -19.49a = 20.1 + 0.00 15.64 + -19.49a = 20.1 Add '-15.64' to each side of the equation. 15.64 + -15.64 + -19.49a = 20.1 + -15.64 Combine like terms: 15.64 + -15.64 = 0.00 0.00 + -19.49a = 20.1 + -15.64 -19.49a = 20.1 + -15.64 Combine like terms: 20.1 + -15.64 = 4.46 -19.49a = 4.46 Divide each side by '-19.49'. a = -0.2288353002 Simplifying a = -0.2288353002
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