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Simplifying 1.5a + 6 = 9a + 12 Reorder the terms: 6 + 1.5a = 9a + 12 Reorder the terms: 6 + 1.5a = 12 + 9a Solving 6 + 1.5a = 12 + 9a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-9a' to each side of the equation. 6 + 1.5a + -9a = 12 + 9a + -9a Combine like terms: 1.5a + -9a = -7.5a 6 + -7.5a = 12 + 9a + -9a Combine like terms: 9a + -9a = 0 6 + -7.5a = 12 + 0 6 + -7.5a = 12 Add '-6' to each side of the equation. 6 + -6 + -7.5a = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -7.5a = 12 + -6 -7.5a = 12 + -6 Combine like terms: 12 + -6 = 6 -7.5a = 6 Divide each side by '-7.5'. a = -0.8 Simplifying a = -0.8
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