0.25(6h+2.3)=1.1(2h-7)

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Solution for 0.25(6h+2.3)=1.1(2h-7) equation: 


Simplifying
0.25(6h + 2.3) = 1.1(2h + -7)

Reorder the terms:
0.25(2.3 + 6h) = 1.1(2h + -7)
(2.3 * 0.25 + 6h * 0.25) = 1.1(2h + -7)
(0.575 + 1.5h) = 1.1(2h + -7)

Reorder the terms:
0.575 + 1.5h = 1.1(-7 + 2h)
0.575 + 1.5h = (-7 * 1.1 + 2h * 1.1)
0.575 + 1.5h = (-7.7 + 2.2h)

Solving
0.575 + 1.5h = -7.7 + 2.2h

Solving for variable 'h'.

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

Add '-2.2h' to each side of the equation.
0.575 + 1.5h + -2.2h = -7.7 + 2.2h + -2.2h

Combine like terms: 1.5h + -2.2h = -0.7h
0.575 + -0.7h = -7.7 + 2.2h + -2.2h

Combine like terms: 2.2h + -2.2h = 0.0
0.575 + -0.7h = -7.7 + 0.0
0.575 + -0.7h = -7.7

Add '-0.575' to each side of the equation.
0.575 + -0.575 + -0.7h = -7.7 + -0.575

Combine like terms: 0.575 + -0.575 = 0.000
0.000 + -0.7h = -7.7 + -0.575
-0.7h = -7.7 + -0.575

Combine like terms: -7.7 + -0.575 = -8.275
-0.7h = -8.275

Divide each side by '-0.7'.
h = 11.82142857

Simplifying
h = 11.82142857

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