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Simplifying 31 + 7a = -2(2 + -6a) 31 + 7a = (2 * -2 + -6a * -2) 31 + 7a = (-4 + 12a) Solving 31 + 7a = -4 + 12a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12a' to each side of the equation. 31 + 7a + -12a = -4 + 12a + -12a Combine like terms: 7a + -12a = -5a 31 + -5a = -4 + 12a + -12a Combine like terms: 12a + -12a = 0 31 + -5a = -4 + 0 31 + -5a = -4 Add '-31' to each side of the equation. 31 + -31 + -5a = -4 + -31 Combine like terms: 31 + -31 = 0 0 + -5a = -4 + -31 -5a = -4 + -31 Combine like terms: -4 + -31 = -35 -5a = -35 Divide each side by '-5'. a = 7 Simplifying a = 7
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