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Simplifying -4u + 40 = -8(u + -6) Reorder the terms: 40 + -4u = -8(u + -6) Reorder the terms: 40 + -4u = -8(-6 + u) 40 + -4u = (-6 * -8 + u * -8) 40 + -4u = (48 + -8u) Solving 40 + -4u = 48 + -8u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8u' to each side of the equation. 40 + -4u + 8u = 48 + -8u + 8u Combine like terms: -4u + 8u = 4u 40 + 4u = 48 + -8u + 8u Combine like terms: -8u + 8u = 0 40 + 4u = 48 + 0 40 + 4u = 48 Add '-40' to each side of the equation. 40 + -40 + 4u = 48 + -40 Combine like terms: 40 + -40 = 0 0 + 4u = 48 + -40 4u = 48 + -40 Combine like terms: 48 + -40 = 8 4u = 8 Divide each side by '4'. u = 2 Simplifying u = 2
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