-460=8(8k+7)-4

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Solution for -460=8(8k+7)-4 equation:


Simplifying
-460 = 8(8k + 7) + -4

Reorder the terms:
-460 = 8(7 + 8k) + -4
-460 = (7 * 8 + 8k * 8) + -4
-460 = (56 + 64k) + -4

Reorder the terms:
-460 = 56 + -4 + 64k

Combine like terms: 56 + -4 = 52
-460 = 52 + 64k

Solving
-460 = 52 + 64k

Solving for variable 'k'.

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

Add '-64k' to each side of the equation.
-460 + -64k = 52 + 64k + -64k

Combine like terms: 64k + -64k = 0
-460 + -64k = 52 + 0
-460 + -64k = 52

Add '460' to each side of the equation.
-460 + 460 + -64k = 52 + 460

Combine like terms: -460 + 460 = 0
0 + -64k = 52 + 460
-64k = 52 + 460

Combine like terms: 52 + 460 = 512
-64k = 512

Divide each side by '-64'.
k = -8

Simplifying
k = -8

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