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Simplifying 7 + -5a = a + -12 Reorder the terms: 7 + -5a = -12 + a Solving 7 + -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. 7 + -5a + -1a = -12 + a + -1a Combine like terms: -5a + -1a = -6a 7 + -6a = -12 + a + -1a Combine like terms: a + -1a = 0 7 + -6a = -12 + 0 7 + -6a = -12 Add '-7' to each side of the equation. 7 + -7 + -6a = -12 + -7 Combine like terms: 7 + -7 = 0 0 + -6a = -12 + -7 -6a = -12 + -7 Combine like terms: -12 + -7 = -19 -6a = -19 Divide each side by '-6'. a = 3.166666667 Simplifying a = 3.166666667
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