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Simplifying 8(4a + -1) + -12u = 11(2u + -6) Reorder the terms: 8(-1 + 4a) + -12u = 11(2u + -6) (-1 * 8 + 4a * 8) + -12u = 11(2u + -6) (-8 + 32a) + -12u = 11(2u + -6) Reorder the terms: -8 + 32a + -12u = 11(-6 + 2u) -8 + 32a + -12u = (-6 * 11 + 2u * 11) -8 + 32a + -12u = (-66 + 22u) Solving -8 + 32a + -12u = -66 + 22u Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 32a + 8 + -12u = -66 + 8 + 22u Reorder the terms: -8 + 8 + 32a + -12u = -66 + 8 + 22u Combine like terms: -8 + 8 = 0 0 + 32a + -12u = -66 + 8 + 22u 32a + -12u = -66 + 8 + 22u Combine like terms: -66 + 8 = -58 32a + -12u = -58 + 22u Add '12u' to each side of the equation. 32a + -12u + 12u = -58 + 22u + 12u Combine like terms: -12u + 12u = 0 32a + 0 = -58 + 22u + 12u 32a = -58 + 22u + 12u Combine like terms: 22u + 12u = 34u 32a = -58 + 34u Divide each side by '32'. a = -1.8125 + 1.0625u Simplifying a = -1.8125 + 1.0625u
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