(12k+3)+(6-2k)-(8k-3j)=

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Solution for (12k+3)+(6-2k)-(8k-3j)= equation:


Simplifying
(12k + 3) + (6 + -2k) + -1(8k + -3j) = 0

Reorder the terms:
(3 + 12k) + (6 + -2k) + -1(8k + -3j) = 0

Remove parenthesis around (3 + 12k)
3 + 12k + (6 + -2k) + -1(8k + -3j) = 0

Remove parenthesis around (6 + -2k)
3 + 12k + 6 + -2k + -1(8k + -3j) = 0

Reorder the terms:
3 + 12k + 6 + -2k + -1(-3j + 8k) = 0
3 + 12k + 6 + -2k + (-3j * -1 + 8k * -1) = 0
3 + 12k + 6 + -2k + (3j + -8k) = 0

Reorder the terms:
3 + 6 + 3j + 12k + -2k + -8k = 0

Combine like terms: 3 + 6 = 9
9 + 3j + 12k + -2k + -8k = 0

Combine like terms: 12k + -2k = 10k
9 + 3j + 10k + -8k = 0

Combine like terms: 10k + -8k = 2k
9 + 3j + 2k = 0

Solving
9 + 3j + 2k = 0

Solving for variable 'j'.

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

Add '-9' to each side of the equation.
9 + 3j + -9 + 2k = 0 + -9

Reorder the terms:
9 + -9 + 3j + 2k = 0 + -9

Combine like terms: 9 + -9 = 0
0 + 3j + 2k = 0 + -9
3j + 2k = 0 + -9

Combine like terms: 0 + -9 = -9
3j + 2k = -9

Add '-2k' to each side of the equation.
3j + 2k + -2k = -9 + -2k

Combine like terms: 2k + -2k = 0
3j + 0 = -9 + -2k
3j = -9 + -2k

Divide each side by '3'.
j = -3 + -0.6666666667k

Simplifying
j = -3 + -0.6666666667k

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