K+2(k+4)-3(k+5)=-4

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Solution for K+2(k+4)-3(k+5)=-4 equation:


Simplifying
K + 2(k + 4) + -3(k + 5) = -4

Reorder the terms:
K + 2(4 + k) + -3(k + 5) = -4
K + (4 * 2 + k * 2) + -3(k + 5) = -4
K + (8 + 2k) + -3(k + 5) = -4

Reorder the terms:
K + 8 + 2k + -3(5 + k) = -4
K + 8 + 2k + (5 * -3 + k * -3) = -4
K + 8 + 2k + (-15 + -3k) = -4

Reorder the terms:
8 + -15 + K + 2k + -3k = -4

Combine like terms: 8 + -15 = -7
-7 + K + 2k + -3k = -4

Combine like terms: 2k + -3k = -1k
-7 + K + -1k = -4

Solving
-7 + K + -1k = -4

Solving for variable 'K'.

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

Add '7' to each side of the equation.
-7 + K + 7 + -1k = -4 + 7

Reorder the terms:
-7 + 7 + K + -1k = -4 + 7

Combine like terms: -7 + 7 = 0
0 + K + -1k = -4 + 7
K + -1k = -4 + 7

Combine like terms: -4 + 7 = 3
K + -1k = 3

Add 'k' to each side of the equation.
K + -1k + k = 3 + k

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

Simplifying
K = 3 + k

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