27+5k=-7(2k+7)

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Solution for 27+5k=-7(2k+7) equation:


Simplifying
27 + 5k = -7(2k + 7)

Reorder the terms:
27 + 5k = -7(7 + 2k)
27 + 5k = (7 * -7 + 2k * -7)
27 + 5k = (-49 + -14k)

Solving
27 + 5k = -49 + -14k

Solving for variable 'k'.

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

Add '14k' to each side of the equation.
27 + 5k + 14k = -49 + -14k + 14k

Combine like terms: 5k + 14k = 19k
27 + 19k = -49 + -14k + 14k

Combine like terms: -14k + 14k = 0
27 + 19k = -49 + 0
27 + 19k = -49

Add '-27' to each side of the equation.
27 + -27 + 19k = -49 + -27

Combine like terms: 27 + -27 = 0
0 + 19k = -49 + -27
19k = -49 + -27

Combine like terms: -49 + -27 = -76
19k = -76

Divide each side by '19'.
k = -4

Simplifying
k = -4

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