9(k+7)-(2-5k)=13k

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Solution for 9(k+7)-(2-5k)=13k equation:


Simplifying
9(k + 7) + -1(2 + -5k) = 13k

Reorder the terms:
9(7 + k) + -1(2 + -5k) = 13k
(7 * 9 + k * 9) + -1(2 + -5k) = 13k
(63 + 9k) + -1(2 + -5k) = 13k
63 + 9k + (2 * -1 + -5k * -1) = 13k
63 + 9k + (-2 + 5k) = 13k

Reorder the terms:
63 + -2 + 9k + 5k = 13k

Combine like terms: 63 + -2 = 61
61 + 9k + 5k = 13k

Combine like terms: 9k + 5k = 14k
61 + 14k = 13k

Solving
61 + 14k = 13k

Solving for variable 'k'.

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

Add '-13k' to each side of the equation.
61 + 14k + -13k = 13k + -13k

Combine like terms: 14k + -13k = 1k
61 + 1k = 13k + -13k

Combine like terms: 13k + -13k = 0
61 + 1k = 0

Add '-61' to each side of the equation.
61 + -61 + 1k = 0 + -61

Combine like terms: 61 + -61 = 0
0 + 1k = 0 + -61
1k = 0 + -61

Combine like terms: 0 + -61 = -61
1k = -61

Divide each side by '1'.
k = -61

Simplifying
k = -61

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