0.08(4h-3)-0.04(5h-2)=0.2

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Solution for 0.08(4h-3)-0.04(5h-2)=0.2 equation:


Simplifying
0.08(4h + -3) + -0.04(5h + -2) = 0.2

Reorder the terms:
0.08(-3 + 4h) + -0.04(5h + -2) = 0.2
(-3 * 0.08 + 4h * 0.08) + -0.04(5h + -2) = 0.2
(-0.24 + 0.32h) + -0.04(5h + -2) = 0.2

Reorder the terms:
-0.24 + 0.32h + -0.04(-2 + 5h) = 0.2
-0.24 + 0.32h + (-2 * -0.04 + 5h * -0.04) = 0.2
-0.24 + 0.32h + (0.08 + -0.2h) = 0.2

Reorder the terms:
-0.24 + 0.08 + 0.32h + -0.2h = 0.2

Combine like terms: -0.24 + 0.08 = -0.16
-0.16 + 0.32h + -0.2h = 0.2

Combine like terms: 0.32h + -0.2h = 0.12h
-0.16 + 0.12h = 0.2

Solving
-0.16 + 0.12h = 0.2

Solving for variable 'h'.

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

Add '0.16' to each side of the equation.
-0.16 + 0.16 + 0.12h = 0.2 + 0.16

Combine like terms: -0.16 + 0.16 = 0.00
0.00 + 0.12h = 0.2 + 0.16
0.12h = 0.2 + 0.16

Combine like terms: 0.2 + 0.16 = 0.36
0.12h = 0.36

Divide each side by '0.12'.
h = 3

Simplifying
h = 3

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