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Simplifying 0.6a + 36.1285 = 2.5(-6.947a + 1.8) + -7.9 Reorder the terms: 36.1285 + 0.6a = 2.5(-6.947a + 1.8) + -7.9 Reorder the terms: 36.1285 + 0.6a = 2.5(1.8 + -6.947a) + -7.9 36.1285 + 0.6a = (1.8 * 2.5 + -6.947a * 2.5) + -7.9 36.1285 + 0.6a = (4.5 + -17.3675a) + -7.9 Reorder the terms: 36.1285 + 0.6a = 4.5 + -7.9 + -17.3675a Combine like terms: 4.5 + -7.9 = -3.4 36.1285 + 0.6a = -3.4 + -17.3675a Solving 36.1285 + 0.6a = -3.4 + -17.3675a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '17.3675a' to each side of the equation. 36.1285 + 0.6a + 17.3675a = -3.4 + -17.3675a + 17.3675a Combine like terms: 0.6a + 17.3675a = 17.9675a 36.1285 + 17.9675a = -3.4 + -17.3675a + 17.3675a Combine like terms: -17.3675a + 17.3675a = 0.0000 36.1285 + 17.9675a = -3.4 + 0.0000 36.1285 + 17.9675a = -3.4 Add '-36.1285' to each side of the equation. 36.1285 + -36.1285 + 17.9675a = -3.4 + -36.1285 Combine like terms: 36.1285 + -36.1285 = 0.0000 0.0000 + 17.9675a = -3.4 + -36.1285 17.9675a = -3.4 + -36.1285 Combine like terms: -3.4 + -36.1285 = -39.5285 17.9675a = -39.5285 Divide each side by '17.9675'. a = -2.2 Simplifying a = -2.2
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