0.5h+0.4(h-6)=0.84h+2

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Solution for 0.5h+0.4(h-6)=0.84h+2 equation:


Simplifying
0.5h + 0.4(h + -6) = 0.84h + 2

Reorder the terms:
0.5h + 0.4(-6 + h) = 0.84h + 2
0.5h + (-6 * 0.4 + h * 0.4) = 0.84h + 2
0.5h + (-2.4 + 0.4h) = 0.84h + 2

Reorder the terms:
-2.4 + 0.5h + 0.4h = 0.84h + 2

Combine like terms: 0.5h + 0.4h = 0.9h
-2.4 + 0.9h = 0.84h + 2

Reorder the terms:
-2.4 + 0.9h = 2 + 0.84h

Solving
-2.4 + 0.9h = 2 + 0.84h

Solving for variable 'h'.

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

Add '-0.84h' to each side of the equation.
-2.4 + 0.9h + -0.84h = 2 + 0.84h + -0.84h

Combine like terms: 0.9h + -0.84h = 0.06h
-2.4 + 0.06h = 2 + 0.84h + -0.84h

Combine like terms: 0.84h + -0.84h = 0.00
-2.4 + 0.06h = 2 + 0.00
-2.4 + 0.06h = 2

Add '2.4' to each side of the equation.
-2.4 + 2.4 + 0.06h = 2 + 2.4

Combine like terms: -2.4 + 2.4 = 0.0
0.0 + 0.06h = 2 + 2.4
0.06h = 2 + 2.4

Combine like terms: 2 + 2.4 = 4.4
0.06h = 4.4

Divide each side by '0.06'.
h = 73.33333333

Simplifying
h = 73.33333333

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