9(1-5k)-11(k+7)=100

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Solution for 9(1-5k)-11(k+7)=100 equation:


Simplifying
9(1 + -5k) + -11(k + 7) = 100
(1 * 9 + -5k * 9) + -11(k + 7) = 100
(9 + -45k) + -11(k + 7) = 100

Reorder the terms:
9 + -45k + -11(7 + k) = 100
9 + -45k + (7 * -11 + k * -11) = 100
9 + -45k + (-77 + -11k) = 100

Reorder the terms:
9 + -77 + -45k + -11k = 100

Combine like terms: 9 + -77 = -68
-68 + -45k + -11k = 100

Combine like terms: -45k + -11k = -56k
-68 + -56k = 100

Solving
-68 + -56k = 100

Solving for variable 'k'.

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

Add '68' to each side of the equation.
-68 + 68 + -56k = 100 + 68

Combine like terms: -68 + 68 = 0
0 + -56k = 100 + 68
-56k = 100 + 68

Combine like terms: 100 + 68 = 168
-56k = 168

Divide each side by '-56'.
k = -3

Simplifying
k = -3

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