4(2k+2)-9=4(k-2)-1

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Solution for 4(2k+2)-9=4(k-2)-1 equation: 


Simplifying
4(2k + 2) + -9 = 4(k + -2) + -1

Reorder the terms:
4(2 + 2k) + -9 = 4(k + -2) + -1
(2 * 4 + 2k * 4) + -9 = 4(k + -2) + -1
(8 + 8k) + -9 = 4(k + -2) + -1

Reorder the terms:
8 + -9 + 8k = 4(k + -2) + -1

Combine like terms: 8 + -9 = -1
-1 + 8k = 4(k + -2) + -1

Reorder the terms:
-1 + 8k = 4(-2 + k) + -1
-1 + 8k = (-2 * 4 + k * 4) + -1
-1 + 8k = (-8 + 4k) + -1

Reorder the terms:
-1 + 8k = -8 + -1 + 4k

Combine like terms: -8 + -1 = -9
-1 + 8k = -9 + 4k

Solving
-1 + 8k = -9 + 4k

Solving for variable 'k'.

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

Add '-4k' to each side of the equation.
-1 + 8k + -4k = -9 + 4k + -4k

Combine like terms: 8k + -4k = 4k
-1 + 4k = -9 + 4k + -4k

Combine like terms: 4k + -4k = 0
-1 + 4k = -9 + 0
-1 + 4k = -9

Add '1' to each side of the equation.
-1 + 1 + 4k = -9 + 1

Combine like terms: -1 + 1 = 0
0 + 4k = -9 + 1
4k = -9 + 1

Combine like terms: -9 + 1 = -8
4k = -8

Divide each side by '4'.
k = -2

Simplifying
k = -2

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