4(k+2)-8(k-1)=3(k+1)-1

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Solution for 4(k+2)-8(k-1)=3(k+1)-1 equation: 


Simplifying
4(k + 2) + -8(k + -1) = 3(k + 1) + -1

Reorder the terms:
4(2 + k) + -8(k + -1) = 3(k + 1) + -1
(2 * 4 + k * 4) + -8(k + -1) = 3(k + 1) + -1
(8 + 4k) + -8(k + -1) = 3(k + 1) + -1

Reorder the terms:
8 + 4k + -8(-1 + k) = 3(k + 1) + -1
8 + 4k + (-1 * -8 + k * -8) = 3(k + 1) + -1
8 + 4k + (8 + -8k) = 3(k + 1) + -1

Reorder the terms:
8 + 8 + 4k + -8k = 3(k + 1) + -1

Combine like terms: 8 + 8 = 16
16 + 4k + -8k = 3(k + 1) + -1

Combine like terms: 4k + -8k = -4k
16 + -4k = 3(k + 1) + -1

Reorder the terms:
16 + -4k = 3(1 + k) + -1
16 + -4k = (1 * 3 + k * 3) + -1
16 + -4k = (3 + 3k) + -1

Reorder the terms:
16 + -4k = 3 + -1 + 3k

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

Solving
16 + -4k = 2 + 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.
16 + -4k + -3k = 2 + 3k + -3k

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

Combine like terms: 3k + -3k = 0
16 + -7k = 2 + 0
16 + -7k = 2

Add '-16' to each side of the equation.
16 + -16 + -7k = 2 + -16

Combine like terms: 16 + -16 = 0
0 + -7k = 2 + -16
-7k = 2 + -16

Combine like terms: 2 + -16 = -14
-7k = -14

Divide each side by '-7'.
k = 2

Simplifying
k = 2

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