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Simplifying 7(u + -3) + -7 = -3(-9u + 4) + -8u Reorder the terms: 7(-3 + u) + -7 = -3(-9u + 4) + -8u (-3 * 7 + u * 7) + -7 = -3(-9u + 4) + -8u (-21 + 7u) + -7 = -3(-9u + 4) + -8u Reorder the terms: -21 + -7 + 7u = -3(-9u + 4) + -8u Combine like terms: -21 + -7 = -28 -28 + 7u = -3(-9u + 4) + -8u Reorder the terms: -28 + 7u = -3(4 + -9u) + -8u -28 + 7u = (4 * -3 + -9u * -3) + -8u -28 + 7u = (-12 + 27u) + -8u Combine like terms: 27u + -8u = 19u -28 + 7u = -12 + 19u Solving -28 + 7u = -12 + 19u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '-19u' to each side of the equation. -28 + 7u + -19u = -12 + 19u + -19u Combine like terms: 7u + -19u = -12u -28 + -12u = -12 + 19u + -19u Combine like terms: 19u + -19u = 0 -28 + -12u = -12 + 0 -28 + -12u = -12 Add '28' to each side of the equation. -28 + 28 + -12u = -12 + 28 Combine like terms: -28 + 28 = 0 0 + -12u = -12 + 28 -12u = -12 + 28 Combine like terms: -12 + 28 = 16 -12u = 16 Divide each side by '-12'. u = -1.333333333 Simplifying u = -1.333333333
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