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Simplifying 1.5a + 6 = a + 12 Reorder the terms: 6 + 1.5a = a + 12 Reorder the terms: 6 + 1.5a = 12 + a Solving 6 + 1.5a = 12 + 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. 6 + 1.5a + -1a = 12 + a + -1a Combine like terms: 1.5a + -1a = 0.5a 6 + 0.5a = 12 + a + -1a Combine like terms: a + -1a = 0 6 + 0.5a = 12 + 0 6 + 0.5a = 12 Add '-6' to each side of the equation. 6 + -6 + 0.5a = 12 + -6 Combine like terms: 6 + -6 = 0 0 + 0.5a = 12 + -6 0.5a = 12 + -6 Combine like terms: 12 + -6 = 6 0.5a = 6 Divide each side by '0.5'. a = 12 Simplifying a = 12
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