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Simplifying 6u + -40 = 4(u + -7) Reorder the terms: -40 + 6u = 4(u + -7) Reorder the terms: -40 + 6u = 4(-7 + u) -40 + 6u = (-7 * 4 + u * 4) -40 + 6u = (-28 + 4u) Solving -40 + 6u = -28 + 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. -40 + 6u + -4u = -28 + 4u + -4u Combine like terms: 6u + -4u = 2u -40 + 2u = -28 + 4u + -4u Combine like terms: 4u + -4u = 0 -40 + 2u = -28 + 0 -40 + 2u = -28 Add '40' to each side of the equation. -40 + 40 + 2u = -28 + 40 Combine like terms: -40 + 40 = 0 0 + 2u = -28 + 40 2u = -28 + 40 Combine like terms: -28 + 40 = 12 2u = 12 Divide each side by '2'. u = 6 Simplifying u = 6
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