-4(k-7)-(5k-7)=-8

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Solution for -4(k-7)-(5k-7)=-8 equation: 


Simplifying
-4(k + -7) + -1(5k + -7) = -8

Reorder the terms:
-4(-7 + k) + -1(5k + -7) = -8
(-7 * -4 + k * -4) + -1(5k + -7) = -8
(28 + -4k) + -1(5k + -7) = -8

Reorder the terms:
28 + -4k + -1(-7 + 5k) = -8
28 + -4k + (-7 * -1 + 5k * -1) = -8
28 + -4k + (7 + -5k) = -8

Reorder the terms:
28 + 7 + -4k + -5k = -8

Combine like terms: 28 + 7 = 35
35 + -4k + -5k = -8

Combine like terms: -4k + -5k = -9k
35 + -9k = -8

Solving
35 + -9k = -8

Solving for variable 'k'.

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

Add '-35' to each side of the equation.
35 + -35 + -9k = -8 + -35

Combine like terms: 35 + -35 = 0
0 + -9k = -8 + -35
-9k = -8 + -35

Combine like terms: -8 + -35 = -43
-9k = -43

Divide each side by '-9'.
k = 4.777777778

Simplifying
k = 4.777777778

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