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Simplifying -3(18u + -5) = -10u + 7(-4u + -7) Reorder the terms: -3(-5 + 18u) = -10u + 7(-4u + -7) (-5 * -3 + 18u * -3) = -10u + 7(-4u + -7) (15 + -54u) = -10u + 7(-4u + -7) Reorder the terms: 15 + -54u = -10u + 7(-7 + -4u) 15 + -54u = -10u + (-7 * 7 + -4u * 7) 15 + -54u = -10u + (-49 + -28u) Reorder the terms: 15 + -54u = -49 + -10u + -28u Combine like terms: -10u + -28u = -38u 15 + -54u = -49 + -38u Solving 15 + -54u = -49 + -38u Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '38u' to each side of the equation. 15 + -54u + 38u = -49 + -38u + 38u Combine like terms: -54u + 38u = -16u 15 + -16u = -49 + -38u + 38u Combine like terms: -38u + 38u = 0 15 + -16u = -49 + 0 15 + -16u = -49 Add '-15' to each side of the equation. 15 + -15 + -16u = -49 + -15 Combine like terms: 15 + -15 = 0 0 + -16u = -49 + -15 -16u = -49 + -15 Combine like terms: -49 + -15 = -64 -16u = -64 Divide each side by '-16'. u = 4 Simplifying u = 4
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