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Simplifying 81 = -7 + -4(6 + 4a) 81 = -7 + (6 * -4 + 4a * -4) 81 = -7 + (-24 + -16a) Combine like terms: -7 + -24 = -31 81 = -31 + -16a Solving 81 = -31 + -16a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '16a' to each side of the equation. 81 + 16a = -31 + -16a + 16a Combine like terms: -16a + 16a = 0 81 + 16a = -31 + 0 81 + 16a = -31 Add '-81' to each side of the equation. 81 + -81 + 16a = -31 + -81 Combine like terms: 81 + -81 = 0 0 + 16a = -31 + -81 16a = -31 + -81 Combine like terms: -31 + -81 = -112 16a = -112 Divide each side by '16'. a = -7 Simplifying a = -7
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