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Simplifying -9.66 + -3.1a = 4.3(a + 2.4) Reorder the terms: -9.66 + -3.1a = 4.3(2.4 + a) -9.66 + -3.1a = (2.4 * 4.3 + a * 4.3) -9.66 + -3.1a = (10.32 + 4.3a) Solving -9.66 + -3.1a = 10.32 + 4.3a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4.3a' to each side of the equation. -9.66 + -3.1a + -4.3a = 10.32 + 4.3a + -4.3a Combine like terms: -3.1a + -4.3a = -7.4a -9.66 + -7.4a = 10.32 + 4.3a + -4.3a Combine like terms: 4.3a + -4.3a = 0.0 -9.66 + -7.4a = 10.32 + 0.0 -9.66 + -7.4a = 10.32 Add '9.66' to each side of the equation. -9.66 + 9.66 + -7.4a = 10.32 + 9.66 Combine like terms: -9.66 + 9.66 = 0.00 0.00 + -7.4a = 10.32 + 9.66 -7.4a = 10.32 + 9.66 Combine like terms: 10.32 + 9.66 = 19.98 -7.4a = 19.98 Divide each side by '-7.4'. a = -2.7 Simplifying a = -2.7
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