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Simplifying 7(a + 8.4) = -6.1(-3) Reorder the terms: 7(8.4 + a) = -6.1(-3) (8.4 * 7 + a * 7) = -6.1(-3) (58.8 + 7a) = -6.1(-3) Multiply -6.1 * -3 58.8 + 7a = 18.3 Solving 58.8 + 7a = 18.3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-58.8' to each side of the equation. 58.8 + -58.8 + 7a = 18.3 + -58.8 Combine like terms: 58.8 + -58.8 = 0.0 0.0 + 7a = 18.3 + -58.8 7a = 18.3 + -58.8 Combine like terms: 18.3 + -58.8 = -40.5 7a = -40.5 Divide each side by '7'. a = -5.785714286 Simplifying a = -5.785714286
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