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

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


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

Reorder the terms:
5(7 + k) + -1 = 3(5k + k) + 4
(7 * 5 + k * 5) + -1 = 3(5k + k) + 4
(35 + 5k) + -1 = 3(5k + k) + 4

Reorder the terms:
35 + -1 + 5k = 3(5k + k) + 4

Combine like terms: 35 + -1 = 34
34 + 5k = 3(5k + k) + 4

Combine like terms: 5k + k = 6k
34 + 5k = 3(6k) + 4

Remove parenthesis around (6k)
34 + 5k = 3 * 6k + 4

Multiply 3 * 6
34 + 5k = 18k + 4

Reorder the terms:
34 + 5k = 4 + 18k

Solving
34 + 5k = 4 + 18k

Solving for variable 'k'.

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

Add '-18k' to each side of the equation.
34 + 5k + -18k = 4 + 18k + -18k

Combine like terms: 5k + -18k = -13k
34 + -13k = 4 + 18k + -18k

Combine like terms: 18k + -18k = 0
34 + -13k = 4 + 0
34 + -13k = 4

Add '-34' to each side of the equation.
34 + -34 + -13k = 4 + -34

Combine like terms: 34 + -34 = 0
0 + -13k = 4 + -34
-13k = 4 + -34

Combine like terms: 4 + -34 = -30
-13k = -30

Divide each side by '-13'.
k = 2.307692308

Simplifying
k = 2.307692308

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