-312=-8(8k+3)-8k

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Solution for -312=-8(8k+3)-8k equation:


Simplifying
-312 = -8(8k + 3) + -8k

Reorder the terms:
-312 = -8(3 + 8k) + -8k
-312 = (3 * -8 + 8k * -8) + -8k
-312 = (-24 + -64k) + -8k

Combine like terms: -64k + -8k = -72k
-312 = -24 + -72k

Solving
-312 = -24 + -72k

Solving for variable 'k'.

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

Add '72k' to each side of the equation.
-312 + 72k = -24 + -72k + 72k

Combine like terms: -72k + 72k = 0
-312 + 72k = -24 + 0
-312 + 72k = -24

Add '312' to each side of the equation.
-312 + 312 + 72k = -24 + 312

Combine like terms: -312 + 312 = 0
0 + 72k = -24 + 312
72k = -24 + 312

Combine like terms: -24 + 312 = 288
72k = 288

Divide each side by '72'.
k = 4

Simplifying
k = 4

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