2k-7(9+5k)=-10(-12k+9)

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Solution for 2k-7(9+5k)=-10(-12k+9) equation:


Simplifying
2k + -7(9 + 5k) = -10(-12k + 9)
2k + (9 * -7 + 5k * -7) = -10(-12k + 9)
2k + (-63 + -35k) = -10(-12k + 9)

Reorder the terms:
-63 + 2k + -35k = -10(-12k + 9)

Combine like terms: 2k + -35k = -33k
-63 + -33k = -10(-12k + 9)

Reorder the terms:
-63 + -33k = -10(9 + -12k)
-63 + -33k = (9 * -10 + -12k * -10)
-63 + -33k = (-90 + 120k)

Solving
-63 + -33k = -90 + 120k

Solving for variable 'k'.

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

Add '-120k' to each side of the equation.
-63 + -33k + -120k = -90 + 120k + -120k

Combine like terms: -33k + -120k = -153k
-63 + -153k = -90 + 120k + -120k

Combine like terms: 120k + -120k = 0
-63 + -153k = -90 + 0
-63 + -153k = -90

Add '63' to each side of the equation.
-63 + 63 + -153k = -90 + 63

Combine like terms: -63 + 63 = 0
0 + -153k = -90 + 63
-153k = -90 + 63

Combine like terms: -90 + 63 = -27
-153k = -27

Divide each side by '-153'.
k = 0.1764705882

Simplifying
k = 0.1764705882

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