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Simplifying 7(u + -1) = 7u + 8 + -3(-4u + -1) Reorder the terms: 7(-1 + u) = 7u + 8 + -3(-4u + -1) (-1 * 7 + u * 7) = 7u + 8 + -3(-4u + -1) (-7 + 7u) = 7u + 8 + -3(-4u + -1) Reorder the terms: -7 + 7u = 7u + 8 + -3(-1 + -4u) -7 + 7u = 7u + 8 + (-1 * -3 + -4u * -3) -7 + 7u = 7u + 8 + (3 + 12u) Reorder the terms: -7 + 7u = 8 + 3 + 7u + 12u Combine like terms: 8 + 3 = 11 -7 + 7u = 11 + 7u + 12u Combine like terms: 7u + 12u = 19u -7 + 7u = 11 + 19u Solving -7 + 7u = 11 + 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. -7 + 7u + -19u = 11 + 19u + -19u Combine like terms: 7u + -19u = -12u -7 + -12u = 11 + 19u + -19u Combine like terms: 19u + -19u = 0 -7 + -12u = 11 + 0 -7 + -12u = 11 Add '7' to each side of the equation. -7 + 7 + -12u = 11 + 7 Combine like terms: -7 + 7 = 0 0 + -12u = 11 + 7 -12u = 11 + 7 Combine like terms: 11 + 7 = 18 -12u = 18 Divide each side by '-12'. u = -1.5 Simplifying u = -1.5
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