4(8k+2)+8=-19-3k

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Solution for 4(8k+2)+8=-19-3k equation:


Simplifying
4(8k + 2) + 8 = -19 + -3k

Reorder the terms:
4(2 + 8k) + 8 = -19 + -3k
(2 * 4 + 8k * 4) + 8 = -19 + -3k
(8 + 32k) + 8 = -19 + -3k

Reorder the terms:
8 + 8 + 32k = -19 + -3k

Combine like terms: 8 + 8 = 16
16 + 32k = -19 + -3k

Solving
16 + 32k = -19 + -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 + 32k + 3k = -19 + -3k + 3k

Combine like terms: 32k + 3k = 35k
16 + 35k = -19 + -3k + 3k

Combine like terms: -3k + 3k = 0
16 + 35k = -19 + 0
16 + 35k = -19

Add '-16' to each side of the equation.
16 + -16 + 35k = -19 + -16

Combine like terms: 16 + -16 = 0
0 + 35k = -19 + -16
35k = -19 + -16

Combine like terms: -19 + -16 = -35
35k = -35

Divide each side by '35'.
k = -1

Simplifying
k = -1

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