3h+6j-5(3h-2j+7k)=

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Solution for 3h+6j-5(3h-2j+7k)= equation:


Simplifying
3h + 6j + -5(3h + -2j + 7k) = 0
3h + 6j + (3h * -5 + -2j * -5 + 7k * -5) = 0
3h + 6j + (-15h + 10j + -35k) = 0

Reorder the terms:
3h + -15h + 6j + 10j + -35k = 0

Combine like terms: 3h + -15h = -12h
-12h + 6j + 10j + -35k = 0

Combine like terms: 6j + 10j = 16j
-12h + 16j + -35k = 0

Solving
-12h + 16j + -35k = 0

Solving for variable 'h'.

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

Add '-16j' to each side of the equation.
-12h + 16j + -16j + -35k = 0 + -16j

Combine like terms: 16j + -16j = 0
-12h + 0 + -35k = 0 + -16j
-12h + -35k = 0 + -16j
Remove the zero:
-12h + -35k = -16j

Add '35k' to each side of the equation.
-12h + -35k + 35k = -16j + 35k

Combine like terms: -35k + 35k = 0
-12h + 0 = -16j + 35k
-12h = -16j + 35k

Divide each side by '-12'.
h = 1.333333333j + -2.916666667k

Simplifying
h = 1.333333333j + -2.916666667k

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