(5h-3j+8k)-3(-5h+5j-5k)=

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Solution for (5h-3j+8k)-3(-5h+5j-5k)= equation:


Simplifying
(5h + -3j + 8k) + -3(-5h + 5j + -5k) = 0

Remove parenthesis around (5h + -3j + 8k)
5h + -3j + 8k + -3(-5h + 5j + -5k) = 0
5h + -3j + 8k + (-5h * -3 + 5j * -3 + -5k * -3) = 0
5h + -3j + 8k + (15h + -15j + 15k) = 0

Reorder the terms:
5h + 15h + -3j + -15j + 8k + 15k = 0

Combine like terms: 5h + 15h = 20h
20h + -3j + -15j + 8k + 15k = 0

Combine like terms: -3j + -15j = -18j
20h + -18j + 8k + 15k = 0

Combine like terms: 8k + 15k = 23k
20h + -18j + 23k = 0

Solving
20h + -18j + 23k = 0

Solving for variable 'h'.

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

Add '18j' to each side of the equation.
20h + -18j + 18j + 23k = 0 + 18j

Combine like terms: -18j + 18j = 0
20h + 0 + 23k = 0 + 18j
20h + 23k = 0 + 18j
Remove the zero:
20h + 23k = 18j

Add '-23k' to each side of the equation.
20h + 23k + -23k = 18j + -23k

Combine like terms: 23k + -23k = 0
20h + 0 = 18j + -23k
20h = 18j + -23k

Divide each side by '20'.
h = 0.9j + -1.15k

Simplifying
h = 0.9j + -1.15k

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