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Simplifying a + 36.876 = -1.1(0.6 + -7.6a) Reorder the terms: 36.876 + a = -1.1(0.6 + -7.6a) 36.876 + a = (0.6 * -1.1 + -7.6a * -1.1) 36.876 + a = (-0.66 + 8.36a) Solving 36.876 + a = -0.66 + 8.36a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-8.36a' to each side of the equation. 36.876 + a + -8.36a = -0.66 + 8.36a + -8.36a Combine like terms: a + -8.36a = -7.36a 36.876 + -7.36a = -0.66 + 8.36a + -8.36a Combine like terms: 8.36a + -8.36a = 0.00 36.876 + -7.36a = -0.66 + 0.00 36.876 + -7.36a = -0.66 Add '-36.876' to each side of the equation. 36.876 + -36.876 + -7.36a = -0.66 + -36.876 Combine like terms: 36.876 + -36.876 = 0.000 0.000 + -7.36a = -0.66 + -36.876 -7.36a = -0.66 + -36.876 Combine like terms: -0.66 + -36.876 = -37.536 -7.36a = -37.536 Divide each side by '-7.36'. a = 5.1 Simplifying a = 5.1
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