1.5+.3(h-6)=.8h+2

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Solution for 1.5+.3(h-6)=.8h+2 equation: 


Simplifying
1.5 + 0.3(h + -6) = 0.8h + 2

Reorder the terms:
1.5 + 0.3(-6 + h) = 0.8h + 2
1.5 + (-6 * 0.3 + h * 0.3) = 0.8h + 2
1.5 + (-1.8 + 0.3h) = 0.8h + 2

Combine like terms: 1.5 + -1.8 = -0.3
-0.3 + 0.3h = 0.8h + 2

Reorder the terms:
-0.3 + 0.3h = 2 + 0.8h

Solving
-0.3 + 0.3h = 2 + 0.8h

Solving for variable 'h'.

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

Add '-0.8h' to each side of the equation.
-0.3 + 0.3h + -0.8h = 2 + 0.8h + -0.8h

Combine like terms: 0.3h + -0.8h = -0.5h
-0.3 + -0.5h = 2 + 0.8h + -0.8h

Combine like terms: 0.8h + -0.8h = 0.0
-0.3 + -0.5h = 2 + 0.0
-0.3 + -0.5h = 2

Add '0.3' to each side of the equation.
-0.3 + 0.3 + -0.5h = 2 + 0.3

Combine like terms: -0.3 + 0.3 = 0.0
0.0 + -0.5h = 2 + 0.3
-0.5h = 2 + 0.3

Combine like terms: 2 + 0.3 = 2.3
-0.5h = 2.3

Divide each side by '-0.5'.
h = -4.6

Simplifying
h = -4.6

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