26+3(1-k)=4(1+k)-3k-3

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Solution for 26+3(1-k)=4(1+k)-3k-3 equation: 


Simplifying
26 + 3(1 + -1k) = 4(1 + k) + -3k + -3
26 + (1 * 3 + -1k * 3) = 4(1 + k) + -3k + -3
26 + (3 + -3k) = 4(1 + k) + -3k + -3

Combine like terms: 26 + 3 = 29
29 + -3k = 4(1 + k) + -3k + -3
29 + -3k = (1 * 4 + k * 4) + -3k + -3
29 + -3k = (4 + 4k) + -3k + -3

Reorder the terms:
29 + -3k = 4 + -3 + 4k + -3k

Combine like terms: 4 + -3 = 1
29 + -3k = 1 + 4k + -3k

Combine like terms: 4k + -3k = 1k
29 + -3k = 1 + 1k

Solving
29 + -3k = 1 + 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
29 + -3k + -1k = 1 + 1k + -1k

Combine like terms: -3k + -1k = -4k
29 + -4k = 1 + 1k + -1k

Combine like terms: 1k + -1k = 0
29 + -4k = 1 + 0
29 + -4k = 1

Add '-29' to each side of the equation.
29 + -29 + -4k = 1 + -29

Combine like terms: 29 + -29 = 0
0 + -4k = 1 + -29
-4k = 1 + -29

Combine like terms: 1 + -29 = -28
-4k = -28

Divide each side by '-4'.
k = 7

Simplifying
k = 7

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