10-0.1(u-7)=0.2(2u-7)

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Solution for 10-0.1(u-7)=0.2(2u-7) equation: 


Simplifying
10 + -0.1(u + -7) = 0.2(2u + -7)

Reorder the terms:
10 + -0.1(-7 + u) = 0.2(2u + -7)
10 + (-7 * -0.1 + u * -0.1) = 0.2(2u + -7)
10 + (0.7 + -0.1u) = 0.2(2u + -7)

Combine like terms: 10 + 0.7 = 10.7
10.7 + -0.1u = 0.2(2u + -7)

Reorder the terms:
10.7 + -0.1u = 0.2(-7 + 2u)
10.7 + -0.1u = (-7 * 0.2 + 2u * 0.2)
10.7 + -0.1u = (-1.4 + 0.4u)

Solving
10.7 + -0.1u = -1.4 + 0.4u

Solving for variable 'u'.

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

Add '-0.4u' to each side of the equation.
10.7 + -0.1u + -0.4u = -1.4 + 0.4u + -0.4u

Combine like terms: -0.1u + -0.4u = -0.5u
10.7 + -0.5u = -1.4 + 0.4u + -0.4u

Combine like terms: 0.4u + -0.4u = 0.0
10.7 + -0.5u = -1.4 + 0.0
10.7 + -0.5u = -1.4

Add '-10.7' to each side of the equation.
10.7 + -10.7 + -0.5u = -1.4 + -10.7

Combine like terms: 10.7 + -10.7 = 0.0
0.0 + -0.5u = -1.4 + -10.7
-0.5u = -1.4 + -10.7

Combine like terms: -1.4 + -10.7 = -12.1
-0.5u = -12.1

Divide each side by '-0.5'.
u = 24.2

Simplifying
u = 24.2

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