-8k+25=-3k-7(1+3k)

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Solution for -8k+25=-3k-7(1+3k) equation: 


Simplifying
-8k + 25 = -3k + -7(1 + 3k)

Reorder the terms:
25 + -8k = -3k + -7(1 + 3k)
25 + -8k = -3k + (1 * -7 + 3k * -7)
25 + -8k = -3k + (-7 + -21k)

Reorder the terms:
25 + -8k = -7 + -3k + -21k

Combine like terms: -3k + -21k = -24k
25 + -8k = -7 + -24k

Solving
25 + -8k = -7 + -24k

Solving for variable 'k'.

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

Add '24k' to each side of the equation.
25 + -8k + 24k = -7 + -24k + 24k

Combine like terms: -8k + 24k = 16k
25 + 16k = -7 + -24k + 24k

Combine like terms: -24k + 24k = 0
25 + 16k = -7 + 0
25 + 16k = -7

Add '-25' to each side of the equation.
25 + -25 + 16k = -7 + -25

Combine like terms: 25 + -25 = 0
0 + 16k = -7 + -25
16k = -7 + -25

Combine like terms: -7 + -25 = -32
16k = -32

Divide each side by '16'.
k = -2

Simplifying
k = -2

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