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

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


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

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

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

Remove parenthesis around (-1 + k)
-28 + 8k + -1 + k = 46

Reorder the terms:
-28 + -1 + 8k + k = 46

Combine like terms: -28 + -1 = -29
-29 + 8k + k = 46

Combine like terms: 8k + k = 9k
-29 + 9k = 46

Solving
-29 + 9k = 46

Solving for variable 'k'.

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

Add '29' to each side of the equation.
-29 + 29 + 9k = 46 + 29

Combine like terms: -29 + 29 = 0
0 + 9k = 46 + 29
9k = 46 + 29

Combine like terms: 46 + 29 = 75
9k = 75

Divide each side by '9'.
k = 8.333333333

Simplifying
k = 8.333333333

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