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Simplifying 2a + 12 = 6a + -5 Reorder the terms: 12 + 2a = 6a + -5 Reorder the terms: 12 + 2a = -5 + 6a Solving 12 + 2a = -5 + 6a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-6a' to each side of the equation. 12 + 2a + -6a = -5 + 6a + -6a Combine like terms: 2a + -6a = -4a 12 + -4a = -5 + 6a + -6a Combine like terms: 6a + -6a = 0 12 + -4a = -5 + 0 12 + -4a = -5 Add '-12' to each side of the equation. 12 + -12 + -4a = -5 + -12 Combine like terms: 12 + -12 = 0 0 + -4a = -5 + -12 -4a = -5 + -12 Combine like terms: -5 + -12 = -17 -4a = -17 Divide each side by '-4'. a = 4.25 Simplifying a = 4.25
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