7(k-7)2=(11+k)

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Solution for 7(k-7)2=(11+k) equation:


Simplifying
7(k + -7) * 2 = (11 + k)

Reorder the terms:
7(-7 + k) * 2 = (11 + k)

Reorder the terms for easier multiplication:
7 * 2(-7 + k) = (11 + k)

Multiply 7 * 2
14(-7 + k) = (11 + k)
(-7 * 14 + k * 14) = (11 + k)
(-98 + 14k) = (11 + k)

Remove parenthesis around (11 + k)
-98 + 14k = 11 + k

Solving
-98 + 14k = 11 + k

Solving for variable 'k'.

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

Add '-1k' to each side of the equation.
-98 + 14k + -1k = 11 + k + -1k

Combine like terms: 14k + -1k = 13k
-98 + 13k = 11 + k + -1k

Combine like terms: k + -1k = 0
-98 + 13k = 11 + 0
-98 + 13k = 11

Add '98' to each side of the equation.
-98 + 98 + 13k = 11 + 98

Combine like terms: -98 + 98 = 0
0 + 13k = 11 + 98
13k = 11 + 98

Combine like terms: 11 + 98 = 109
13k = 109

Divide each side by '13'.
k = 8.384615385

Simplifying
k = 8.384615385

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