-15=-5h+.4(40-3h)

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Solution for -15=-5h+.4(40-3h) equation:


Simplifying
-15 = -5h + 0.4(40 + -3h)
-15 = -5h + (40 * 0.4 + -3h * 0.4)
-15 = -5h + (16 + -1.2h)

Reorder the terms:
-15 = 16 + -5h + -1.2h

Combine like terms: -5h + -1.2h = -6.2h
-15 = 16 + -6.2h

Solving
-15 = 16 + -6.2h

Solving for variable 'h'.

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

Add '6.2h' to each side of the equation.
-15 + 6.2h = 16 + -6.2h + 6.2h

Combine like terms: -6.2h + 6.2h = 0.0
-15 + 6.2h = 16 + 0.0
-15 + 6.2h = 16

Add '15' to each side of the equation.
-15 + 15 + 6.2h = 16 + 15

Combine like terms: -15 + 15 = 0
0 + 6.2h = 16 + 15
6.2h = 16 + 15

Combine like terms: 16 + 15 = 31
6.2h = 31

Divide each side by '6.2'.
h = 5

Simplifying
h = 5

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