(5h-2j+8k)-6(-5h+8j-4k)=

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Solution for (5h-2j+8k)-6(-5h+8j-4k)= equation:


Simplifying
(5h + -2j + 8k) + -6(-5h + 8j + -4k) = 0

Remove parenthesis around (5h + -2j + 8k)
5h + -2j + 8k + -6(-5h + 8j + -4k) = 0
5h + -2j + 8k + (-5h * -6 + 8j * -6 + -4k * -6) = 0
5h + -2j + 8k + (30h + -48j + 24k) = 0

Reorder the terms:
5h + 30h + -2j + -48j + 8k + 24k = 0

Combine like terms: 5h + 30h = 35h
35h + -2j + -48j + 8k + 24k = 0

Combine like terms: -2j + -48j = -50j
35h + -50j + 8k + 24k = 0

Combine like terms: 8k + 24k = 32k
35h + -50j + 32k = 0

Solving
35h + -50j + 32k = 0

Solving for variable 'h'.

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

Add '50j' to each side of the equation.
35h + -50j + 50j + 32k = 0 + 50j

Combine like terms: -50j + 50j = 0
35h + 0 + 32k = 0 + 50j
35h + 32k = 0 + 50j
Remove the zero:
35h + 32k = 50j

Add '-32k' to each side of the equation.
35h + 32k + -32k = 50j + -32k

Combine like terms: 32k + -32k = 0
35h + 0 = 50j + -32k
35h = 50j + -32k

Divide each side by '35'.
h = 1.428571429j + -0.9142857143k

Simplifying
h = 1.428571429j + -0.9142857143k

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