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Simplifying 0.5a + 12 = 3a + 7 Reorder the terms: 12 + 0.5a = 3a + 7 Reorder the terms: 12 + 0.5a = 7 + 3a Solving 12 + 0.5a = 7 + 3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-3a' to each side of the equation. 12 + 0.5a + -3a = 7 + 3a + -3a Combine like terms: 0.5a + -3a = -2.5a 12 + -2.5a = 7 + 3a + -3a Combine like terms: 3a + -3a = 0 12 + -2.5a = 7 + 0 12 + -2.5a = 7 Add '-12' to each side of the equation. 12 + -12 + -2.5a = 7 + -12 Combine like terms: 12 + -12 = 0 0 + -2.5a = 7 + -12 -2.5a = 7 + -12 Combine like terms: 7 + -12 = -5 -2.5a = -5 Divide each side by '-2.5'. a = 2 Simplifying a = 2
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