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Simplifying 2.8(7.7a + -2.9) = -113.764 Reorder the terms: 2.8(-2.9 + 7.7a) = -113.764 (-2.9 * 2.8 + 7.7a * 2.8) = -113.764 (-8.12 + 21.56a) = -113.764 Solving -8.12 + 21.56a = -113.764 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8.12' to each side of the equation. -8.12 + 8.12 + 21.56a = -113.764 + 8.12 Combine like terms: -8.12 + 8.12 = 0.00 0.00 + 21.56a = -113.764 + 8.12 21.56a = -113.764 + 8.12 Combine like terms: -113.764 + 8.12 = -105.644 21.56a = -105.644 Divide each side by '21.56'. a = -4.9 Simplifying a = -4.9
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