(2h+6j-2k)-(-7h-5j+4k)=

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Solution for (2h+6j-2k)-(-7h-5j+4k)= equation:


Simplifying
(2h + 6j + -2k) + -1(-7h + -5j + 4k) = 0

Remove parenthesis around (2h + 6j + -2k)
2h + 6j + -2k + -1(-7h + -5j + 4k) = 0
2h + 6j + -2k + (-7h * -1 + -5j * -1 + 4k * -1) = 0
2h + 6j + -2k + (7h + 5j + -4k) = 0

Reorder the terms:
2h + 7h + 6j + 5j + -2k + -4k = 0

Combine like terms: 2h + 7h = 9h
9h + 6j + 5j + -2k + -4k = 0

Combine like terms: 6j + 5j = 11j
9h + 11j + -2k + -4k = 0

Combine like terms: -2k + -4k = -6k
9h + 11j + -6k = 0

Solving
9h + 11j + -6k = 0

Solving for variable 'h'.

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

Add '-11j' to each side of the equation.
9h + 11j + -11j + -6k = 0 + -11j

Combine like terms: 11j + -11j = 0
9h + 0 + -6k = 0 + -11j
9h + -6k = 0 + -11j
Remove the zero:
9h + -6k = -11j

Add '6k' to each side of the equation.
9h + -6k + 6k = -11j + 6k

Combine like terms: -6k + 6k = 0
9h + 0 = -11j + 6k
9h = -11j + 6k

Divide each side by '9'.
h = -1.222222222j + 0.6666666667k

Simplifying
h = -1.222222222j + 0.6666666667k

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