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Simplifying 5.6 + -4.1(4.3a + -5.9) = -10.604 + -7a Reorder the terms: 5.6 + -4.1(-5.9 + 4.3a) = -10.604 + -7a 5.6 + (-5.9 * -4.1 + 4.3a * -4.1) = -10.604 + -7a 5.6 + (24.19 + -17.63a) = -10.604 + -7a Combine like terms: 5.6 + 24.19 = 29.79 29.79 + -17.63a = -10.604 + -7a Solving 29.79 + -17.63a = -10.604 + -7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '7a' to each side of the equation. 29.79 + -17.63a + 7a = -10.604 + -7a + 7a Combine like terms: -17.63a + 7a = -10.63a 29.79 + -10.63a = -10.604 + -7a + 7a Combine like terms: -7a + 7a = 0 29.79 + -10.63a = -10.604 + 0 29.79 + -10.63a = -10.604 Add '-29.79' to each side of the equation. 29.79 + -29.79 + -10.63a = -10.604 + -29.79 Combine like terms: 29.79 + -29.79 = 0.00 0.00 + -10.63a = -10.604 + -29.79 -10.63a = -10.604 + -29.79 Combine like terms: -10.604 + -29.79 = -40.394 -10.63a = -40.394 Divide each side by '-10.63'. a = 3.8 Simplifying a = 3.8
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