3(4K+14)+10k-4=1k-2(k-7)+10k-4

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Solution for 3(4K+14)+10k-4=1k-2(k-7)+10k-4 equation: 


Simplifying
3(4K + 14) + 10k + -4 = 1k + -2(k + -7) + 10k + -4

Reorder the terms:
3(14 + 4K) + 10k + -4 = 1k + -2(k + -7) + 10k + -4
(14 * 3 + 4K * 3) + 10k + -4 = 1k + -2(k + -7) + 10k + -4
(42 + 12K) + 10k + -4 = 1k + -2(k + -7) + 10k + -4

Reorder the terms:
42 + -4 + 12K + 10k = 1k + -2(k + -7) + 10k + -4

Combine like terms: 42 + -4 = 38
38 + 12K + 10k = 1k + -2(k + -7) + 10k + -4

Reorder the terms:
38 + 12K + 10k = 1k + -2(-7 + k) + 10k + -4
38 + 12K + 10k = 1k + (-7 * -2 + k * -2) + 10k + -4
38 + 12K + 10k = 1k + (14 + -2k) + 10k + -4

Reorder the terms:
38 + 12K + 10k = 14 + -4 + 1k + -2k + 10k

Combine like terms: 14 + -4 = 10
38 + 12K + 10k = 10 + 1k + -2k + 10k

Combine like terms: 1k + -2k = -1k
38 + 12K + 10k = 10 + -1k + 10k

Combine like terms: -1k + 10k = 9k
38 + 12K + 10k = 10 + 9k

Solving
38 + 12K + 10k = 10 + 9k

Solving for variable 'K'.

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

Add '-38' to each side of the equation.
38 + 12K + -38 + 10k = 10 + -38 + 9k

Reorder the terms:
38 + -38 + 12K + 10k = 10 + -38 + 9k

Combine like terms: 38 + -38 = 0
0 + 12K + 10k = 10 + -38 + 9k
12K + 10k = 10 + -38 + 9k

Combine like terms: 10 + -38 = -28
12K + 10k = -28 + 9k

Add '-10k' to each side of the equation.
12K + 10k + -10k = -28 + 9k + -10k

Combine like terms: 10k + -10k = 0
12K + 0 = -28 + 9k + -10k
12K = -28 + 9k + -10k

Combine like terms: 9k + -10k = -1k
12K = -28 + -1k

Divide each side by '12'.
K = -2.333333333 + -0.08333333333k

Simplifying
K = -2.333333333 + -0.08333333333k

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