9(k+1)-4k=3k+23

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Solution for 9(k+1)-4k=3k+23 equation:


Simplifying
9(k + 1) + -4k = 3k + 23

Reorder the terms:
9(1 + k) + -4k = 3k + 23
(1 * 9 + k * 9) + -4k = 3k + 23
(9 + 9k) + -4k = 3k + 23

Combine like terms: 9k + -4k = 5k
9 + 5k = 3k + 23

Reorder the terms:
9 + 5k = 23 + 3k

Solving
9 + 5k = 23 + 3k

Solving for variable 'k'.

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

Add '-3k' to each side of the equation.
9 + 5k + -3k = 23 + 3k + -3k

Combine like terms: 5k + -3k = 2k
9 + 2k = 23 + 3k + -3k

Combine like terms: 3k + -3k = 0
9 + 2k = 23 + 0
9 + 2k = 23

Add '-9' to each side of the equation.
9 + -9 + 2k = 23 + -9

Combine like terms: 9 + -9 = 0
0 + 2k = 23 + -9
2k = 23 + -9

Combine like terms: 23 + -9 = 14
2k = 14

Divide each side by '2'.
k = 7

Simplifying
k = 7

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