7(1+4k)-5=-4k-30

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Solution for 7(1+4k)-5=-4k-30 equation: 


Simplifying
7(1 + 4k) + -5 = -4k + -30
(1 * 7 + 4k * 7) + -5 = -4k + -30
(7 + 28k) + -5 = -4k + -30

Reorder the terms:
7 + -5 + 28k = -4k + -30

Combine like terms: 7 + -5 = 2
2 + 28k = -4k + -30

Reorder the terms:
2 + 28k = -30 + -4k

Solving
2 + 28k = -30 + -4k

Solving for variable 'k'.

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

Add '4k' to each side of the equation.
2 + 28k + 4k = -30 + -4k + 4k

Combine like terms: 28k + 4k = 32k
2 + 32k = -30 + -4k + 4k

Combine like terms: -4k + 4k = 0
2 + 32k = -30 + 0
2 + 32k = -30

Add '-2' to each side of the equation.
2 + -2 + 32k = -30 + -2

Combine like terms: 2 + -2 = 0
0 + 32k = -30 + -2
32k = -30 + -2

Combine like terms: -30 + -2 = -32
32k = -32

Divide each side by '32'.
k = -1

Simplifying
k = -1

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