61.95=(4.31)(h)+(3.41)(4-h)

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Solution for 61.95=(4.31)(h)+(3.41)(4-h) equation:


Simplifying
61.95 = (4.31)(h) + (3.41)(4 + -1h)
61.95 = 4.31h + (4 * 3.41 + -1h * 3.41)
61.95 = 4.31h + (13.64 + -3.41h)

Reorder the terms:
61.95 = 13.64 + 4.31h + -3.41h

Combine like terms: 4.31h + -3.41h = 0.9h
61.95 = 13.64 + 0.9h

Solving
61.95 = 13.64 + 0.9h

Solving for variable 'h'.

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

Add '-0.9h' to each side of the equation.
61.95 + -0.9h = 13.64 + 0.9h + -0.9h

Combine like terms: 0.9h + -0.9h = 0.0
61.95 + -0.9h = 13.64 + 0.0
61.95 + -0.9h = 13.64

Add '-61.95' to each side of the equation.
61.95 + -61.95 + -0.9h = 13.64 + -61.95

Combine like terms: 61.95 + -61.95 = 0.00
0.00 + -0.9h = 13.64 + -61.95
-0.9h = 13.64 + -61.95

Combine like terms: 13.64 + -61.95 = -48.31
-0.9h = -48.31

Divide each side by '-0.9'.
h = 53.67777778

Simplifying
h = 53.67777778

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