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

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


Simplifying
9(5 + -1k) + 7 = -7(k + -4) + -5
(5 * 9 + -1k * 9) + 7 = -7(k + -4) + -5
(45 + -9k) + 7 = -7(k + -4) + -5

Reorder the terms:
45 + 7 + -9k = -7(k + -4) + -5

Combine like terms: 45 + 7 = 52
52 + -9k = -7(k + -4) + -5

Reorder the terms:
52 + -9k = -7(-4 + k) + -5
52 + -9k = (-4 * -7 + k * -7) + -5
52 + -9k = (28 + -7k) + -5

Reorder the terms:
52 + -9k = 28 + -5 + -7k

Combine like terms: 28 + -5 = 23
52 + -9k = 23 + -7k

Solving
52 + -9k = 23 + -7k

Solving for variable 'k'.

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

Add '7k' to each side of the equation.
52 + -9k + 7k = 23 + -7k + 7k

Combine like terms: -9k + 7k = -2k
52 + -2k = 23 + -7k + 7k

Combine like terms: -7k + 7k = 0
52 + -2k = 23 + 0
52 + -2k = 23

Add '-52' to each side of the equation.
52 + -52 + -2k = 23 + -52

Combine like terms: 52 + -52 = 0
0 + -2k = 23 + -52
-2k = 23 + -52

Combine like terms: 23 + -52 = -29
-2k = -29

Divide each side by '-2'.
k = 14.5

Simplifying
k = 14.5

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