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Simplifying 0.27a + -1 = 0.63a + 9 Reorder the terms: -1 + 0.27a = 0.63a + 9 Reorder the terms: -1 + 0.27a = 9 + 0.63a Solving -1 + 0.27a = 9 + 0.63a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-0.63a' to each side of the equation. -1 + 0.27a + -0.63a = 9 + 0.63a + -0.63a Combine like terms: 0.27a + -0.63a = -0.36a -1 + -0.36a = 9 + 0.63a + -0.63a Combine like terms: 0.63a + -0.63a = 0.00 -1 + -0.36a = 9 + 0.00 -1 + -0.36a = 9 Add '1' to each side of the equation. -1 + 1 + -0.36a = 9 + 1 Combine like terms: -1 + 1 = 0 0 + -0.36a = 9 + 1 -0.36a = 9 + 1 Combine like terms: 9 + 1 = 10 -0.36a = 10 Divide each side by '-0.36'. a = -27.77777778 Simplifying a = -27.77777778
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