208=8(4u+7)-2(7u-4)

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Solution for 208=8(4u+7)-2(7u-4) equation: 


Simplifying
208 = 8(4u + 7) + -2(7u + -4)

Reorder the terms:
208 = 8(7 + 4u) + -2(7u + -4)
208 = (7 * 8 + 4u * 8) + -2(7u + -4)
208 = (56 + 32u) + -2(7u + -4)

Reorder the terms:
208 = 56 + 32u + -2(-4 + 7u)
208 = 56 + 32u + (-4 * -2 + 7u * -2)
208 = 56 + 32u + (8 + -14u)

Reorder the terms:
208 = 56 + 8 + 32u + -14u

Combine like terms: 56 + 8 = 64
208 = 64 + 32u + -14u

Combine like terms: 32u + -14u = 18u
208 = 64 + 18u

Solving
208 = 64 + 18u

Solving for variable 'u'.

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

Add '-18u' to each side of the equation.
208 + -18u = 64 + 18u + -18u

Combine like terms: 18u + -18u = 0
208 + -18u = 64 + 0
208 + -18u = 64

Add '-208' to each side of the equation.
208 + -208 + -18u = 64 + -208

Combine like terms: 208 + -208 = 0
0 + -18u = 64 + -208
-18u = 64 + -208

Combine like terms: 64 + -208 = -144
-18u = -144

Divide each side by '-18'.
u = 8

Simplifying
u = 8

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