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

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


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

Reorder the terms:
4(9 + k) + -1(3k + -3) = 9
(9 * 4 + k * 4) + -1(3k + -3) = 9
(36 + 4k) + -1(3k + -3) = 9

Reorder the terms:
36 + 4k + -1(-3 + 3k) = 9
36 + 4k + (-3 * -1 + 3k * -1) = 9
36 + 4k + (3 + -3k) = 9

Reorder the terms:
36 + 3 + 4k + -3k = 9

Combine like terms: 36 + 3 = 39
39 + 4k + -3k = 9

Combine like terms: 4k + -3k = 1k
39 + 1k = 9

Solving
39 + 1k = 9

Solving for variable 'k'.

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

Add '-39' to each side of the equation.
39 + -39 + 1k = 9 + -39

Combine like terms: 39 + -39 = 0
0 + 1k = 9 + -39
1k = 9 + -39

Combine like terms: 9 + -39 = -30
1k = -30

Divide each side by '1'.
k = -30

Simplifying
k = -30

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