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Simplifying -9u + -40 = -7(u + 6) Reorder the terms: -40 + -9u = -7(u + 6) Reorder the terms: -40 + -9u = -7(6 + u) -40 + -9u = (6 * -7 + u * -7) -40 + -9u = (-42 + -7u) Solving -40 + -9u = -42 + -7u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '7u' to each side of the equation. -40 + -9u + 7u = -42 + -7u + 7u Combine like terms: -9u + 7u = -2u -40 + -2u = -42 + -7u + 7u Combine like terms: -7u + 7u = 0 -40 + -2u = -42 + 0 -40 + -2u = -42 Add '40' to each side of the equation. -40 + 40 + -2u = -42 + 40 Combine like terms: -40 + 40 = 0 0 + -2u = -42 + 40 -2u = -42 + 40 Combine like terms: -42 + 40 = -2 -2u = -2 Divide each side by '-2'. u = 1 Simplifying u = 1
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