5(4k-7)=1+8k

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Solution for 5(4k-7)=1+8k equation:


Simplifying
5(4k + -7) = 1 + 8k

Reorder the terms:
5(-7 + 4k) = 1 + 8k
(-7 * 5 + 4k * 5) = 1 + 8k
(-35 + 20k) = 1 + 8k

Solving
-35 + 20k = 1 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
-35 + 20k + -8k = 1 + 8k + -8k

Combine like terms: 20k + -8k = 12k
-35 + 12k = 1 + 8k + -8k

Combine like terms: 8k + -8k = 0
-35 + 12k = 1 + 0
-35 + 12k = 1

Add '35' to each side of the equation.
-35 + 35 + 12k = 1 + 35

Combine like terms: -35 + 35 = 0
0 + 12k = 1 + 35
12k = 1 + 35

Combine like terms: 1 + 35 = 36
12k = 36

Divide each side by '12'.
k = 3

Simplifying
k = 3

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