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Simplifying 7(u + -1) + -2 = -7(-3u + 3) + -5u Reorder the terms: 7(-1 + u) + -2 = -7(-3u + 3) + -5u (-1 * 7 + u * 7) + -2 = -7(-3u + 3) + -5u (-7 + 7u) + -2 = -7(-3u + 3) + -5u Reorder the terms: -7 + -2 + 7u = -7(-3u + 3) + -5u Combine like terms: -7 + -2 = -9 -9 + 7u = -7(-3u + 3) + -5u Reorder the terms: -9 + 7u = -7(3 + -3u) + -5u -9 + 7u = (3 * -7 + -3u * -7) + -5u -9 + 7u = (-21 + 21u) + -5u Combine like terms: 21u + -5u = 16u -9 + 7u = -21 + 16u Solving -9 + 7u = -21 + 16u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-16u' to each side of the equation. -9 + 7u + -16u = -21 + 16u + -16u Combine like terms: 7u + -16u = -9u -9 + -9u = -21 + 16u + -16u Combine like terms: 16u + -16u = 0 -9 + -9u = -21 + 0 -9 + -9u = -21 Add '9' to each side of the equation. -9 + 9 + -9u = -21 + 9 Combine like terms: -9 + 9 = 0 0 + -9u = -21 + 9 -9u = -21 + 9 Combine like terms: -21 + 9 = -12 -9u = -12 Divide each side by '-9'. u = 1.333333333 Simplifying u = 1.333333333
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