7(2k+4)-(3k+1)=49

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Solution for 7(2k+4)-(3k+1)=49 equation:


Simplifying
7(2k + 4) + -1(3k + 1) = 49

Reorder the terms:
7(4 + 2k) + -1(3k + 1) = 49
(4 * 7 + 2k * 7) + -1(3k + 1) = 49
(28 + 14k) + -1(3k + 1) = 49

Reorder the terms:
28 + 14k + -1(1 + 3k) = 49
28 + 14k + (1 * -1 + 3k * -1) = 49
28 + 14k + (-1 + -3k) = 49

Reorder the terms:
28 + -1 + 14k + -3k = 49

Combine like terms: 28 + -1 = 27
27 + 14k + -3k = 49

Combine like terms: 14k + -3k = 11k
27 + 11k = 49

Solving
27 + 11k = 49

Solving for variable 'k'.

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

Add '-27' to each side of the equation.
27 + -27 + 11k = 49 + -27

Combine like terms: 27 + -27 = 0
0 + 11k = 49 + -27
11k = 49 + -27

Combine like terms: 49 + -27 = 22
11k = 22

Divide each side by '11'.
k = 2

Simplifying
k = 2

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