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Simplifying 4u + -12 = 2(u + -7) Reorder the terms: -12 + 4u = 2(u + -7) Reorder the terms: -12 + 4u = 2(-7 + u) -12 + 4u = (-7 * 2 + u * 2) -12 + 4u = (-14 + 2u) Solving -12 + 4u = -14 + 2u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-2u' to each side of the equation. -12 + 4u + -2u = -14 + 2u + -2u Combine like terms: 4u + -2u = 2u -12 + 2u = -14 + 2u + -2u Combine like terms: 2u + -2u = 0 -12 + 2u = -14 + 0 -12 + 2u = -14 Add '12' to each side of the equation. -12 + 12 + 2u = -14 + 12 Combine like terms: -12 + 12 = 0 0 + 2u = -14 + 12 2u = -14 + 12 Combine like terms: -14 + 12 = -2 2u = -2 Divide each side by '2'. u = -1 Simplifying u = -1
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