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Simplifying -7(-2u + 4) + -2u = 6(u + -7) + -1 Reorder the terms: -7(4 + -2u) + -2u = 6(u + -7) + -1 (4 * -7 + -2u * -7) + -2u = 6(u + -7) + -1 (-28 + 14u) + -2u = 6(u + -7) + -1 Combine like terms: 14u + -2u = 12u -28 + 12u = 6(u + -7) + -1 Reorder the terms: -28 + 12u = 6(-7 + u) + -1 -28 + 12u = (-7 * 6 + u * 6) + -1 -28 + 12u = (-42 + 6u) + -1 Reorder the terms: -28 + 12u = -42 + -1 + 6u Combine like terms: -42 + -1 = -43 -28 + 12u = -43 + 6u Solving -28 + 12u = -43 + 6u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-6u' to each side of the equation. -28 + 12u + -6u = -43 + 6u + -6u Combine like terms: 12u + -6u = 6u -28 + 6u = -43 + 6u + -6u Combine like terms: 6u + -6u = 0 -28 + 6u = -43 + 0 -28 + 6u = -43 Add '28' to each side of the equation. -28 + 28 + 6u = -43 + 28 Combine like terms: -28 + 28 = 0 0 + 6u = -43 + 28 6u = -43 + 28 Combine like terms: -43 + 28 = -15 6u = -15 Divide each side by '6'. u = -2.5 Simplifying u = -2.5
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