3h+5j-5(3h-6j+5k)=

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Solution for 3h+5j-5(3h-6j+5k)= equation:


Simplifying
3h + 5j + -5(3h + -6j + 5k) = 0
3h + 5j + (3h * -5 + -6j * -5 + 5k * -5) = 0
3h + 5j + (-15h + 30j + -25k) = 0

Reorder the terms:
3h + -15h + 5j + 30j + -25k = 0

Combine like terms: 3h + -15h = -12h
-12h + 5j + 30j + -25k = 0

Combine like terms: 5j + 30j = 35j
-12h + 35j + -25k = 0

Solving
-12h + 35j + -25k = 0

Solving for variable 'h'.

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

Add '-35j' to each side of the equation.
-12h + 35j + -35j + -25k = 0 + -35j

Combine like terms: 35j + -35j = 0
-12h + 0 + -25k = 0 + -35j
-12h + -25k = 0 + -35j
Remove the zero:
-12h + -25k = -35j

Add '25k' to each side of the equation.
-12h + -25k + 25k = -35j + 25k

Combine like terms: -25k + 25k = 0
-12h + 0 = -35j + 25k
-12h = -35j + 25k

Divide each side by '-12'.
h = 2.916666667j + -2.083333333k

Simplifying
h = 2.916666667j + -2.083333333k

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