4(k+1)-6(5+7k)=-64

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Solution for 4(k+1)-6(5+7k)=-64 equation: 


Simplifying
4(k + 1) + -6(5 + 7k) = -64

Reorder the terms:
4(1 + k) + -6(5 + 7k) = -64
(1 * 4 + k * 4) + -6(5 + 7k) = -64
(4 + 4k) + -6(5 + 7k) = -64
4 + 4k + (5 * -6 + 7k * -6) = -64
4 + 4k + (-30 + -42k) = -64

Reorder the terms:
4 + -30 + 4k + -42k = -64

Combine like terms: 4 + -30 = -26
-26 + 4k + -42k = -64

Combine like terms: 4k + -42k = -38k
-26 + -38k = -64

Solving
-26 + -38k = -64

Solving for variable 'k'.

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

Add '26' to each side of the equation.
-26 + 26 + -38k = -64 + 26

Combine like terms: -26 + 26 = 0
0 + -38k = -64 + 26
-38k = -64 + 26

Combine like terms: -64 + 26 = -38
-38k = -38

Divide each side by '-38'.
k = 1

Simplifying
k = 1

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