32+5k=-7-3(1-4k)

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Solution for 32+5k=-7-3(1-4k) equation: 


Simplifying
32 + 5k = -7 + -3(1 + -4k)
32 + 5k = -7 + (1 * -3 + -4k * -3)
32 + 5k = -7 + (-3 + 12k)

Combine like terms: -7 + -3 = -10
32 + 5k = -10 + 12k

Solving
32 + 5k = -10 + 12k

Solving for variable 'k'.

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

Add '-12k' to each side of the equation.
32 + 5k + -12k = -10 + 12k + -12k

Combine like terms: 5k + -12k = -7k
32 + -7k = -10 + 12k + -12k

Combine like terms: 12k + -12k = 0
32 + -7k = -10 + 0
32 + -7k = -10

Add '-32' to each side of the equation.
32 + -32 + -7k = -10 + -32

Combine like terms: 32 + -32 = 0
0 + -7k = -10 + -32
-7k = -10 + -32

Combine like terms: -10 + -32 = -42
-7k = -42

Divide each side by '-7'.
k = 6

Simplifying
k = 6

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