-4(k+7)-(-8k-2)=3k

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Solution for -4(k+7)-(-8k-2)=3k equation:


Simplifying
-4(k + 7) + -1(-8k + -2) = 3k

Reorder the terms:
-4(7 + k) + -1(-8k + -2) = 3k
(7 * -4 + k * -4) + -1(-8k + -2) = 3k
(-28 + -4k) + -1(-8k + -2) = 3k

Reorder the terms:
-28 + -4k + -1(-2 + -8k) = 3k
-28 + -4k + (-2 * -1 + -8k * -1) = 3k
-28 + -4k + (2 + 8k) = 3k

Reorder the terms:
-28 + 2 + -4k + 8k = 3k

Combine like terms: -28 + 2 = -26
-26 + -4k + 8k = 3k

Combine like terms: -4k + 8k = 4k
-26 + 4k = 3k

Solving
-26 + 4k = 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.
-26 + 4k + -3k = 3k + -3k

Combine like terms: 4k + -3k = 1k
-26 + 1k = 3k + -3k

Combine like terms: 3k + -3k = 0
-26 + 1k = 0

Add '26' to each side of the equation.
-26 + 26 + 1k = 0 + 26

Combine like terms: -26 + 26 = 0
0 + 1k = 0 + 26
1k = 0 + 26

Combine like terms: 0 + 26 = 26
1k = 26

Divide each side by '1'.
k = 26

Simplifying
k = 26

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