-5(2k+6)=-12k-7(k-7)

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Solution for -5(2k+6)=-12k-7(k-7) equation:


Simplifying
-5(2k + 6) = -12k + -7(k + -7)

Reorder the terms:
-5(6 + 2k) = -12k + -7(k + -7)
(6 * -5 + 2k * -5) = -12k + -7(k + -7)
(-30 + -10k) = -12k + -7(k + -7)

Reorder the terms:
-30 + -10k = -12k + -7(-7 + k)
-30 + -10k = -12k + (-7 * -7 + k * -7)
-30 + -10k = -12k + (49 + -7k)

Reorder the terms:
-30 + -10k = 49 + -12k + -7k

Combine like terms: -12k + -7k = -19k
-30 + -10k = 49 + -19k

Solving
-30 + -10k = 49 + -19k

Solving for variable 'k'.

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

Add '19k' to each side of the equation.
-30 + -10k + 19k = 49 + -19k + 19k

Combine like terms: -10k + 19k = 9k
-30 + 9k = 49 + -19k + 19k

Combine like terms: -19k + 19k = 0
-30 + 9k = 49 + 0
-30 + 9k = 49

Add '30' to each side of the equation.
-30 + 30 + 9k = 49 + 30

Combine like terms: -30 + 30 = 0
0 + 9k = 49 + 30
9k = 49 + 30

Combine like terms: 49 + 30 = 79
9k = 79

Divide each side by '9'.
k = 8.777777778

Simplifying
k = 8.777777778

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