.06(4h-7)-.05(5h-1)=.8

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Solution for .06(4h-7)-.05(5h-1)=.8 equation: 


Simplifying
0.06(4h + -7) + -0.05(5h + -1) = 0.8

Reorder the terms:
0.06(-7 + 4h) + -0.05(5h + -1) = 0.8
(-7 * 0.06 + 4h * 0.06) + -0.05(5h + -1) = 0.8
(-0.42 + 0.24h) + -0.05(5h + -1) = 0.8

Reorder the terms:
-0.42 + 0.24h + -0.05(-1 + 5h) = 0.8
-0.42 + 0.24h + (-1 * -0.05 + 5h * -0.05) = 0.8
-0.42 + 0.24h + (0.05 + -0.25h) = 0.8

Reorder the terms:
-0.42 + 0.05 + 0.24h + -0.25h = 0.8

Combine like terms: -0.42 + 0.05 = -0.37
-0.37 + 0.24h + -0.25h = 0.8

Combine like terms: 0.24h + -0.25h = -0.01h
-0.37 + -0.01h = 0.8

Solving
-0.37 + -0.01h = 0.8

Solving for variable 'h'.

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

Add '0.37' to each side of the equation.
-0.37 + 0.37 + -0.01h = 0.8 + 0.37

Combine like terms: -0.37 + 0.37 = 0.00
0.00 + -0.01h = 0.8 + 0.37
-0.01h = 0.8 + 0.37

Combine like terms: 0.8 + 0.37 = 1.17
-0.01h = 1.17

Divide each side by '-0.01'.
h = -117

Simplifying
h = -117

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