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

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


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

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

Reorder the terms:
42 + 12k = -7 + 10k + -2k

Combine like terms: 10k + -2k = 8k
42 + 12k = -7 + 8k

Solving
42 + 12k = -7 + 8k

Solving for variable 'k'.

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

Add '-8k' to each side of the equation.
42 + 12k + -8k = -7 + 8k + -8k

Combine like terms: 12k + -8k = 4k
42 + 4k = -7 + 8k + -8k

Combine like terms: 8k + -8k = 0
42 + 4k = -7 + 0
42 + 4k = -7

Add '-42' to each side of the equation.
42 + -42 + 4k = -7 + -42

Combine like terms: 42 + -42 = 0
0 + 4k = -7 + -42
4k = -7 + -42

Combine like terms: -7 + -42 = -49
4k = -49

Divide each side by '4'.
k = -12.25

Simplifying
k = -12.25

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