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Simplifying 8(u + -6) = 4u + -16 Reorder the terms: 8(-6 + u) = 4u + -16 (-6 * 8 + u * 8) = 4u + -16 (-48 + 8u) = 4u + -16 Reorder the terms: -48 + 8u = -16 + 4u Solving -48 + 8u = -16 + 4u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-4u' to each side of the equation. -48 + 8u + -4u = -16 + 4u + -4u Combine like terms: 8u + -4u = 4u -48 + 4u = -16 + 4u + -4u Combine like terms: 4u + -4u = 0 -48 + 4u = -16 + 0 -48 + 4u = -16 Add '48' to each side of the equation. -48 + 48 + 4u = -16 + 48 Combine like terms: -48 + 48 = 0 0 + 4u = -16 + 48 4u = -16 + 48 Combine like terms: -16 + 48 = 32 4u = 32 Divide each side by '4'. u = 8 Simplifying u = 8
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