-3(k-7)-(-4k-3)=8

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Solution for -3(k-7)-(-4k-3)=8 equation:


Simplifying
-3(k + -7) + -1(-4k + -3) = 8

Reorder the terms:
-3(-7 + k) + -1(-4k + -3) = 8
(-7 * -3 + k * -3) + -1(-4k + -3) = 8
(21 + -3k) + -1(-4k + -3) = 8

Reorder the terms:
21 + -3k + -1(-3 + -4k) = 8
21 + -3k + (-3 * -1 + -4k * -1) = 8
21 + -3k + (3 + 4k) = 8

Reorder the terms:
21 + 3 + -3k + 4k = 8

Combine like terms: 21 + 3 = 24
24 + -3k + 4k = 8

Combine like terms: -3k + 4k = 1k
24 + 1k = 8

Solving
24 + 1k = 8

Solving for variable 'k'.

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

Add '-24' to each side of the equation.
24 + -24 + 1k = 8 + -24

Combine like terms: 24 + -24 = 0
0 + 1k = 8 + -24
1k = 8 + -24

Combine like terms: 8 + -24 = -16
1k = -16

Divide each side by '1'.
k = -16

Simplifying
k = -16

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