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Simplifying -3.4(2.7a + -1.7) + -1.2a = 47.3 Reorder the terms: -3.4(-1.7 + 2.7a) + -1.2a = 47.3 (-1.7 * -3.4 + 2.7a * -3.4) + -1.2a = 47.3 (5.78 + -9.18a) + -1.2a = 47.3 Combine like terms: -9.18a + -1.2a = -10.38a 5.78 + -10.38a = 47.3 Solving 5.78 + -10.38a = 47.3 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-5.78' to each side of the equation. 5.78 + -5.78 + -10.38a = 47.3 + -5.78 Combine like terms: 5.78 + -5.78 = 0.00 0.00 + -10.38a = 47.3 + -5.78 -10.38a = 47.3 + -5.78 Combine like terms: 47.3 + -5.78 = 41.52 -10.38a = 41.52 Divide each side by '-10.38'. a = -4 Simplifying a = -4
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