-7(4k+2)=-5k+9

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Solution for -7(4k+2)=-5k+9 equation:


Simplifying
-7(4k + 2) = -5k + 9

Reorder the terms:
-7(2 + 4k) = -5k + 9
(2 * -7 + 4k * -7) = -5k + 9
(-14 + -28k) = -5k + 9

Reorder the terms:
-14 + -28k = 9 + -5k

Solving
-14 + -28k = 9 + -5k

Solving for variable 'k'.

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

Add '5k' to each side of the equation.
-14 + -28k + 5k = 9 + -5k + 5k

Combine like terms: -28k + 5k = -23k
-14 + -23k = 9 + -5k + 5k

Combine like terms: -5k + 5k = 0
-14 + -23k = 9 + 0
-14 + -23k = 9

Add '14' to each side of the equation.
-14 + 14 + -23k = 9 + 14

Combine like terms: -14 + 14 = 0
0 + -23k = 9 + 14
-23k = 9 + 14

Combine like terms: 9 + 14 = 23
-23k = 23

Divide each side by '-23'.
k = -1

Simplifying
k = -1

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