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Simplifying -4u + -40 = 8(u + 4) Reorder the terms: -40 + -4u = 8(u + 4) Reorder the terms: -40 + -4u = 8(4 + u) -40 + -4u = (4 * 8 + u * 8) -40 + -4u = (32 + 8u) Solving -40 + -4u = 32 + 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 = 32 + 8u + -8u Combine like terms: -4u + -8u = -12u -40 + -12u = 32 + 8u + -8u Combine like terms: 8u + -8u = 0 -40 + -12u = 32 + 0 -40 + -12u = 32 Add '40' to each side of the equation. -40 + 40 + -12u = 32 + 40 Combine like terms: -40 + 40 = 0 0 + -12u = 32 + 40 -12u = 32 + 40 Combine like terms: 32 + 40 = 72 -12u = 72 Divide each side by '-12'. u = -6 Simplifying u = -6
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