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Simplifying 6.5a + -3 = 1.5a + 12 Reorder the terms: -3 + 6.5a = 1.5a + 12 Reorder the terms: -3 + 6.5a = 12 + 1.5a Solving -3 + 6.5a = 12 + 1.5a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-1.5a' to each side of the equation. -3 + 6.5a + -1.5a = 12 + 1.5a + -1.5a Combine like terms: 6.5a + -1.5a = 5a -3 + 5a = 12 + 1.5a + -1.5a Combine like terms: 1.5a + -1.5a = 0.0 -3 + 5a = 12 + 0.0 -3 + 5a = 12 Add '3' to each side of the equation. -3 + 3 + 5a = 12 + 3 Combine like terms: -3 + 3 = 0 0 + 5a = 12 + 3 5a = 12 + 3 Combine like terms: 12 + 3 = 15 5a = 15 Divide each side by '5'. a = 3 Simplifying a = 3
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