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Simplifying 0.75a + 9 = a + 6 Reorder the terms: 9 + 0.75a = a + 6 Reorder the terms: 9 + 0.75a = 6 + a Solving 9 + 0.75a = 6 + a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1a' to each side of the equation. 9 + 0.75a + -1a = 6 + a + -1a Combine like terms: 0.75a + -1a = -0.25a 9 + -0.25a = 6 + a + -1a Combine like terms: a + -1a = 0 9 + -0.25a = 6 + 0 9 + -0.25a = 6 Add '-9' to each side of the equation. 9 + -9 + -0.25a = 6 + -9 Combine like terms: 9 + -9 = 0 0 + -0.25a = 6 + -9 -0.25a = 6 + -9 Combine like terms: 6 + -9 = -3 -0.25a = -3 Divide each side by '-0.25'. a = 12 Simplifying a = 12
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