10.2u+0.5=2.5u-0.3(u-7)

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Solution for 10.2u+0.5=2.5u-0.3(u-7) equation: 


Simplifying
10.2u + 0.5 = 2.5u + -0.3(u + -7)

Reorder the terms:
0.5 + 10.2u = 2.5u + -0.3(u + -7)

Reorder the terms:
0.5 + 10.2u = 2.5u + -0.3(-7 + u)
0.5 + 10.2u = 2.5u + (-7 * -0.3 + u * -0.3)
0.5 + 10.2u = 2.5u + (2.1 + -0.3u)

Reorder the terms:
0.5 + 10.2u = 2.1 + 2.5u + -0.3u

Combine like terms: 2.5u + -0.3u = 2.2u
0.5 + 10.2u = 2.1 + 2.2u

Solving
0.5 + 10.2u = 2.1 + 2.2u

Solving for variable 'u'.

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

Add '-2.2u' to each side of the equation.
0.5 + 10.2u + -2.2u = 2.1 + 2.2u + -2.2u

Combine like terms: 10.2u + -2.2u = 8u
0.5 + 8u = 2.1 + 2.2u + -2.2u

Combine like terms: 2.2u + -2.2u = 0.0
0.5 + 8u = 2.1 + 0.0
0.5 + 8u = 2.1

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 8u = 2.1 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 8u = 2.1 + -0.5
8u = 2.1 + -0.5

Combine like terms: 2.1 + -0.5 = 1.6
8u = 1.6

Divide each side by '8'.
u = 0.2

Simplifying
u = 0.2

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