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Simplifying 7(u + -4) + -4 = -4(-5u + 7) + -1u Reorder the terms: 7(-4 + u) + -4 = -4(-5u + 7) + -1u (-4 * 7 + u * 7) + -4 = -4(-5u + 7) + -1u (-28 + 7u) + -4 = -4(-5u + 7) + -1u Reorder the terms: -28 + -4 + 7u = -4(-5u + 7) + -1u Combine like terms: -28 + -4 = -32 -32 + 7u = -4(-5u + 7) + -1u Reorder the terms: -32 + 7u = -4(7 + -5u) + -1u -32 + 7u = (7 * -4 + -5u * -4) + -1u -32 + 7u = (-28 + 20u) + -1u Combine like terms: 20u + -1u = 19u -32 + 7u = -28 + 19u Solving -32 + 7u = -28 + 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. -32 + 7u + -19u = -28 + 19u + -19u Combine like terms: 7u + -19u = -12u -32 + -12u = -28 + 19u + -19u Combine like terms: 19u + -19u = 0 -32 + -12u = -28 + 0 -32 + -12u = -28 Add '32' to each side of the equation. -32 + 32 + -12u = -28 + 32 Combine like terms: -32 + 32 = 0 0 + -12u = -28 + 32 -12u = -28 + 32 Combine like terms: -28 + 32 = 4 -12u = 4 Divide each side by '-12'. u = -0.3333333333 Simplifying u = -0.3333333333
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