-8(1-5k)=-7-(1-k)

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Solution for -8(1-5k)=-7-(1-k) equation:


Simplifying
-8(1 + -5k) = -7 + -1(1 + -1k)
(1 * -8 + -5k * -8) = -7 + -1(1 + -1k)
(-8 + 40k) = -7 + -1(1 + -1k)
-8 + 40k = -7 + (1 * -1 + -1k * -1)
-8 + 40k = -7 + (-1 + 1k)

Combine like terms: -7 + -1 = -8
-8 + 40k = -8 + 1k

Add '8' to each side of the equation.
-8 + 8 + 40k = -8 + 8 + 1k

Combine like terms: -8 + 8 = 0
0 + 40k = -8 + 8 + 1k
40k = -8 + 8 + 1k

Combine like terms: -8 + 8 = 0
40k = 0 + 1k
40k = 1k

Solving
40k = 1k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
40k + -1k = 1k + -1k

Combine like terms: 40k + -1k = 39k
39k = 1k + -1k

Combine like terms: 1k + -1k = 0
39k = 0

Divide each side by '39'.
k = 0

Simplifying
k = 0

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