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Simplifying 4(u + -4) + -2 = -4(-3u + 1) + -40 Reorder the terms: 4(-4 + u) + -2 = -4(-3u + 1) + -40 (-4 * 4 + u * 4) + -2 = -4(-3u + 1) + -40 (-16 + 4u) + -2 = -4(-3u + 1) + -40 Reorder the terms: -16 + -2 + 4u = -4(-3u + 1) + -40 Combine like terms: -16 + -2 = -18 -18 + 4u = -4(-3u + 1) + -40 Reorder the terms: -18 + 4u = -4(1 + -3u) + -40 -18 + 4u = (1 * -4 + -3u * -4) + -40 -18 + 4u = (-4 + 12u) + -40 Reorder the terms: -18 + 4u = -4 + -40 + 12u Combine like terms: -4 + -40 = -44 -18 + 4u = -44 + 12u Solving -18 + 4u = -44 + 12u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-12u' to each side of the equation. -18 + 4u + -12u = -44 + 12u + -12u Combine like terms: 4u + -12u = -8u -18 + -8u = -44 + 12u + -12u Combine like terms: 12u + -12u = 0 -18 + -8u = -44 + 0 -18 + -8u = -44 Add '18' to each side of the equation. -18 + 18 + -8u = -44 + 18 Combine like terms: -18 + 18 = 0 0 + -8u = -44 + 18 -8u = -44 + 18 Combine like terms: -44 + 18 = -26 -8u = -26 Divide each side by '-8'. u = 3.25 Simplifying u = 3.25
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