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Simplifying -1.6872 + -3.1a = -1.2(0.8a + 5.9) Reorder the terms: -1.6872 + -3.1a = -1.2(5.9 + 0.8a) -1.6872 + -3.1a = (5.9 * -1.2 + 0.8a * -1.2) -1.6872 + -3.1a = (-7.08 + -0.96a) Solving -1.6872 + -3.1a = -7.08 + -0.96a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '0.96a' to each side of the equation. -1.6872 + -3.1a + 0.96a = -7.08 + -0.96a + 0.96a Combine like terms: -3.1a + 0.96a = -2.14a -1.6872 + -2.14a = -7.08 + -0.96a + 0.96a Combine like terms: -0.96a + 0.96a = 0.00 -1.6872 + -2.14a = -7.08 + 0.00 -1.6872 + -2.14a = -7.08 Add '1.6872' to each side of the equation. -1.6872 + 1.6872 + -2.14a = -7.08 + 1.6872 Combine like terms: -1.6872 + 1.6872 = 0.0000 0.0000 + -2.14a = -7.08 + 1.6872 -2.14a = -7.08 + 1.6872 Combine like terms: -7.08 + 1.6872 = -5.3928 -2.14a = -5.3928 Divide each side by '-2.14'. a = 2.52 Simplifying a = 2.52
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