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

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


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

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

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

Reorder the terms:
-28 + -3 + 8k + 3k = 46

Combine like terms: -28 + -3 = -31
-31 + 8k + 3k = 46

Combine like terms: 8k + 3k = 11k
-31 + 11k = 46

Solving
-31 + 11k = 46

Solving for variable 'k'.

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

Add '31' to each side of the equation.
-31 + 31 + 11k = 46 + 31

Combine like terms: -31 + 31 = 0
0 + 11k = 46 + 31
11k = 46 + 31

Combine like terms: 46 + 31 = 77
11k = 77

Divide each side by '11'.
k = 7

Simplifying
k = 7

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