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Simplifying 7(u + -2) + 12 = 4(u + -2) Reorder the terms: 7(-2 + u) + 12 = 4(u + -2) (-2 * 7 + u * 7) + 12 = 4(u + -2) (-14 + 7u) + 12 = 4(u + -2) Reorder the terms: -14 + 12 + 7u = 4(u + -2) Combine like terms: -14 + 12 = -2 -2 + 7u = 4(u + -2) Reorder the terms: -2 + 7u = 4(-2 + u) -2 + 7u = (-2 * 4 + u * 4) -2 + 7u = (-8 + 4u) Solving -2 + 7u = -8 + 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. -2 + 7u + -4u = -8 + 4u + -4u Combine like terms: 7u + -4u = 3u -2 + 3u = -8 + 4u + -4u Combine like terms: 4u + -4u = 0 -2 + 3u = -8 + 0 -2 + 3u = -8 Add '2' to each side of the equation. -2 + 2 + 3u = -8 + 2 Combine like terms: -2 + 2 = 0 0 + 3u = -8 + 2 3u = -8 + 2 Combine like terms: -8 + 2 = -6 3u = -6 Divide each side by '3'. u = -2 Simplifying u = -2
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