4(2k-7)=46-3(k-1)

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Solution for 4(2k-7)=46-3(k-1) equation: 


Simplifying
4(2k + -7) = 46 + -3(k + -1)

Reorder the terms:
4(-7 + 2k) = 46 + -3(k + -1)
(-7 * 4 + 2k * 4) = 46 + -3(k + -1)
(-28 + 8k) = 46 + -3(k + -1)

Reorder the terms:
-28 + 8k = 46 + -3(-1 + k)
-28 + 8k = 46 + (-1 * -3 + k * -3)
-28 + 8k = 46 + (3 + -3k)

Combine like terms: 46 + 3 = 49
-28 + 8k = 49 + -3k

Solving
-28 + 8k = 49 + -3k

Solving for variable 'k'.

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

Add '3k' to each side of the equation.
-28 + 8k + 3k = 49 + -3k + 3k

Combine like terms: 8k + 3k = 11k
-28 + 11k = 49 + -3k + 3k

Combine like terms: -3k + 3k = 0
-28 + 11k = 49 + 0
-28 + 11k = 49

Add '28' to each side of the equation.
-28 + 28 + 11k = 49 + 28

Combine like terms: -28 + 28 = 0
0 + 11k = 49 + 28
11k = 49 + 28

Combine like terms: 49 + 28 = 77
11k = 77

Divide each side by '11'.
k = 7

Simplifying
k = 7

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