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Simplifying 15 + 3(3a + -1) = 16 + -1(2u + -7) Reorder the terms: 15 + 3(-1 + 3a) = 16 + -1(2u + -7) 15 + (-1 * 3 + 3a * 3) = 16 + -1(2u + -7) 15 + (-3 + 9a) = 16 + -1(2u + -7) Combine like terms: 15 + -3 = 12 12 + 9a = 16 + -1(2u + -7) Reorder the terms: 12 + 9a = 16 + -1(-7 + 2u) 12 + 9a = 16 + (-7 * -1 + 2u * -1) 12 + 9a = 16 + (7 + -2u) Combine like terms: 16 + 7 = 23 12 + 9a = 23 + -2u Solving 12 + 9a = 23 + -2u Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + -12 + 9a = 23 + -12 + -2u Combine like terms: 12 + -12 = 0 0 + 9a = 23 + -12 + -2u 9a = 23 + -12 + -2u Combine like terms: 23 + -12 = 11 9a = 11 + -2u Divide each side by '9'. a = 1.222222222 + -0.2222222222u Simplifying a = 1.222222222 + -0.2222222222u
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