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Simplifying 4(u + -2) = 8u + 2 + -2(-7u + -2) Reorder the terms: 4(-2 + u) = 8u + 2 + -2(-7u + -2) (-2 * 4 + u * 4) = 8u + 2 + -2(-7u + -2) (-8 + 4u) = 8u + 2 + -2(-7u + -2) Reorder the terms: -8 + 4u = 8u + 2 + -2(-2 + -7u) -8 + 4u = 8u + 2 + (-2 * -2 + -7u * -2) -8 + 4u = 8u + 2 + (4 + 14u) Reorder the terms: -8 + 4u = 2 + 4 + 8u + 14u Combine like terms: 2 + 4 = 6 -8 + 4u = 6 + 8u + 14u Combine like terms: 8u + 14u = 22u -8 + 4u = 6 + 22u Solving -8 + 4u = 6 + 22u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-22u' to each side of the equation. -8 + 4u + -22u = 6 + 22u + -22u Combine like terms: 4u + -22u = -18u -8 + -18u = 6 + 22u + -22u Combine like terms: 22u + -22u = 0 -8 + -18u = 6 + 0 -8 + -18u = 6 Add '8' to each side of the equation. -8 + 8 + -18u = 6 + 8 Combine like terms: -8 + 8 = 0 0 + -18u = 6 + 8 -18u = 6 + 8 Combine like terms: 6 + 8 = 14 -18u = 14 Divide each side by '-18'. u = -0.7777777778 Simplifying u = -0.7777777778
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