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Simplifying (-12r) + -3 + -7a + 7 = -8 + 39 Reorder the terms: -3 + 7 + -7a + (-12r) = -8 + 39 Combine like terms: -3 + 7 = 4 4 + -7a + (-12r) = -8 + 39 Combine like terms: -8 + 39 = 31 4 + -7a + (-12r) = 31 Solving 4 + -7a + (-12r) = 31 Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-4' to each side of the equation. 4 + -7a + -4 + (-12r) = 31 + -4 Reorder the terms: 4 + -4 + -7a + (-12r) = 31 + -4 Combine like terms: 4 + -4 = 0 0 + -7a + (-12r) = 31 + -4 -7a + (-12r) = 31 + -4 Combine like terms: 31 + -4 = 27 -7a + (-12r) = 27 Add '(12r)' to each side of the equation. -7a + (-12r) + (12r) = 27 + (12r) Combine like terms: (-12r) + (12r) = 0 -7a + 0 = 27 + (12r) -7a = 27 + (12r) Divide each side by '-7'. a = -3.857142857 + (-1.714285714r) Simplifying a = -3.857142857 + (-1.714285714r)
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