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Simplifying 8(4u + -1) + -12u = 18 + -3(16 + -3d) Reorder the terms: 8(-1 + 4u) + -12u = 18 + -3(16 + -3d) (-1 * 8 + 4u * 8) + -12u = 18 + -3(16 + -3d) (-8 + 32u) + -12u = 18 + -3(16 + -3d) Combine like terms: 32u + -12u = 20u -8 + 20u = 18 + -3(16 + -3d) -8 + 20u = 18 + (16 * -3 + -3d * -3) -8 + 20u = 18 + (-48 + 9d) Combine like terms: 18 + -48 = -30 -8 + 20u = -30 + 9d Solving -8 + 20u = -30 + 9d Solving for variable 'u'. Move all terms containing u to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 20u = -30 + 8 + 9d Combine like terms: -8 + 8 = 0 0 + 20u = -30 + 8 + 9d 20u = -30 + 8 + 9d Combine like terms: -30 + 8 = -22 20u = -22 + 9d Divide each side by '20'. u = -1.1 + 0.45d Simplifying u = -1.1 + 0.45d
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