3(k+3)-(4k-7)=-2k

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Solution for 3(k+3)-(4k-7)=-2k equation: 


Simplifying
3(k + 3) + -1(4k + -7) = -2k

Reorder the terms:
3(3 + k) + -1(4k + -7) = -2k
(3 * 3 + k * 3) + -1(4k + -7) = -2k
(9 + 3k) + -1(4k + -7) = -2k

Reorder the terms:
9 + 3k + -1(-7 + 4k) = -2k
9 + 3k + (-7 * -1 + 4k * -1) = -2k
9 + 3k + (7 + -4k) = -2k

Reorder the terms:
9 + 7 + 3k + -4k = -2k

Combine like terms: 9 + 7 = 16
16 + 3k + -4k = -2k

Combine like terms: 3k + -4k = -1k
16 + -1k = -2k

Solving
16 + -1k = -2k

Solving for variable 'k'.

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

Add '2k' to each side of the equation.
16 + -1k + 2k = -2k + 2k

Combine like terms: -1k + 2k = 1k
16 + 1k = -2k + 2k

Combine like terms: -2k + 2k = 0
16 + 1k = 0

Add '-16' to each side of the equation.
16 + -16 + 1k = 0 + -16

Combine like terms: 16 + -16 = 0
0 + 1k = 0 + -16
1k = 0 + -16

Combine like terms: 0 + -16 = -16
1k = -16

Divide each side by '1'.
k = -16

Simplifying
k = -16

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