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Simplifying 10a + -1(3) + -7a + 7 = -8 + 39 Multiply -1 * 3 10a + -3 + -7a + 7 = -8 + 39 Reorder the terms: -3 + 7 + 10a + -7a = -8 + 39 Combine like terms: -3 + 7 = 4 4 + 10a + -7a = -8 + 39 Combine like terms: 10a + -7a = 3a 4 + 3a = -8 + 39 Combine like terms: -8 + 39 = 31 4 + 3a = 31 Solving 4 + 3a = 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 + -4 + 3a = 31 + -4 Combine like terms: 4 + -4 = 0 0 + 3a = 31 + -4 3a = 31 + -4 Combine like terms: 31 + -4 = 27 3a = 27 Divide each side by '3'. a = 9 Simplifying a = 9
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