(3h-8j+7k)-8(-3h+5j-7k)=

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Solution for (3h-8j+7k)-8(-3h+5j-7k)= equation:


Simplifying
(3h + -8j + 7k) + -8(-3h + 5j + -7k) = 0

Remove parenthesis around (3h + -8j + 7k)
3h + -8j + 7k + -8(-3h + 5j + -7k) = 0
3h + -8j + 7k + (-3h * -8 + 5j * -8 + -7k * -8) = 0
3h + -8j + 7k + (24h + -40j + 56k) = 0

Reorder the terms:
3h + 24h + -8j + -40j + 7k + 56k = 0

Combine like terms: 3h + 24h = 27h
27h + -8j + -40j + 7k + 56k = 0

Combine like terms: -8j + -40j = -48j
27h + -48j + 7k + 56k = 0

Combine like terms: 7k + 56k = 63k
27h + -48j + 63k = 0

Solving
27h + -48j + 63k = 0

Solving for variable 'h'.

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

Add '48j' to each side of the equation.
27h + -48j + 48j + 63k = 0 + 48j

Combine like terms: -48j + 48j = 0
27h + 0 + 63k = 0 + 48j
27h + 63k = 0 + 48j
Remove the zero:
27h + 63k = 48j

Add '-63k' to each side of the equation.
27h + 63k + -63k = 48j + -63k

Combine like terms: 63k + -63k = 0
27h + 0 = 48j + -63k
27h = 48j + -63k

Divide each side by '27'.
h = 1.777777778j + -2.333333333k

Simplifying
h = 1.777777778j + -2.333333333k

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