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Simplifying 8.4 = -6[a + 2.4] Reorder the terms: 8.4 = -6[2.4 + a] 8.4 = [2.4 * -6 + a * -6] 8.4 = [-14.4 + -6a] Solving 8.4 = -14.4 + -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. 8.4 + 6a = -14.4 + -6a + 6a Combine like terms: -6a + 6a = 0 8.4 + 6a = -14.4 + 0 8.4 + 6a = -14.4 Add '-8.4' to each side of the equation. 8.4 + -8.4 + 6a = -14.4 + -8.4 Combine like terms: 8.4 + -8.4 = 0.0 0.0 + 6a = -14.4 + -8.4 6a = -14.4 + -8.4 Combine like terms: -14.4 + -8.4 = -22.8 6a = -22.8 Divide each side by '6'. a = -3.8 Simplifying a = -3.8
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