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Simplifying 1.5a + 2 = 12.0a + 3.0 Reorder the terms: 2 + 1.5a = 12.0a + 3.0 Reorder the terms: 2 + 1.5a = 3.0 + 12.0a Solving 2 + 1.5a = 3.0 + 12.0a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12.0a' to each side of the equation. 2 + 1.5a + -12.0a = 3.0 + 12.0a + -12.0a Combine like terms: 1.5a + -12.0a = -10.5a 2 + -10.5a = 3.0 + 12.0a + -12.0a Combine like terms: 12.0a + -12.0a = 0.0 2 + -10.5a = 3.0 + 0.0 2 + -10.5a = 3.0 Add '-2' to each side of the equation. 2 + -2 + -10.5a = 3.0 + -2 Combine like terms: 2 + -2 = 0 0 + -10.5a = 3.0 + -2 -10.5a = 3.0 + -2 Combine like terms: 3.0 + -2 = 1 -10.5a = 1 Divide each side by '-10.5'. a = -0.09523809524 Simplifying a = -0.09523809524
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