48-1.6(3u-4)+4u=4(16-u)

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Solution for 48-1.6(3u-4)+4u=4(16-u) equation: 


Simplifying
48 + -1.6(3u + -4) + 4u = 4(16 + -1u)

Reorder the terms:
48 + -1.6(-4 + 3u) + 4u = 4(16 + -1u)
48 + (-4 * -1.6 + 3u * -1.6) + 4u = 4(16 + -1u)
48 + (6.4 + -4.8u) + 4u = 4(16 + -1u)

Combine like terms: 48 + 6.4 = 54.4
54.4 + -4.8u + 4u = 4(16 + -1u)

Combine like terms: -4.8u + 4u = -0.8u
54.4 + -0.8u = 4(16 + -1u)
54.4 + -0.8u = (16 * 4 + -1u * 4)
54.4 + -0.8u = (64 + -4u)

Solving
54.4 + -0.8u = 64 + -4u

Solving for variable 'u'.

Move all terms containing u to the left, all other terms to the right.

Add '4u' to each side of the equation.
54.4 + -0.8u + 4u = 64 + -4u + 4u

Combine like terms: -0.8u + 4u = 3.2u
54.4 + 3.2u = 64 + -4u + 4u

Combine like terms: -4u + 4u = 0
54.4 + 3.2u = 64 + 0
54.4 + 3.2u = 64

Add '-54.4' to each side of the equation.
54.4 + -54.4 + 3.2u = 64 + -54.4

Combine like terms: 54.4 + -54.4 = 0.0
0.0 + 3.2u = 64 + -54.4
3.2u = 64 + -54.4

Combine like terms: 64 + -54.4 = 9.6
3.2u = 9.6

Divide each side by '3.2'.
u = 3

Simplifying
u = 3

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