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Simplifying 1.5a + 9.75 = 1 + 2.75a Reorder the terms: 9.75 + 1.5a = 1 + 2.75a Solving 9.75 + 1.5a = 1 + 2.75a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-2.75a' to each side of the equation. 9.75 + 1.5a + -2.75a = 1 + 2.75a + -2.75a Combine like terms: 1.5a + -2.75a = -1.25a 9.75 + -1.25a = 1 + 2.75a + -2.75a Combine like terms: 2.75a + -2.75a = 0.00 9.75 + -1.25a = 1 + 0.00 9.75 + -1.25a = 1 Add '-9.75' to each side of the equation. 9.75 + -9.75 + -1.25a = 1 + -9.75 Combine like terms: 9.75 + -9.75 = 0.00 0.00 + -1.25a = 1 + -9.75 -1.25a = 1 + -9.75 Combine like terms: 1 + -9.75 = -8.75 -1.25a = -8.75 Divide each side by '-1.25'. a = 7 Simplifying a = 7
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