-4(k+5)-(2k-5)=-7k

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Solution for -4(k+5)-(2k-5)=-7k equation:


Simplifying
-4(k + 5) + -1(2k + -5) = -7k

Reorder the terms:
-4(5 + k) + -1(2k + -5) = -7k
(5 * -4 + k * -4) + -1(2k + -5) = -7k
(-20 + -4k) + -1(2k + -5) = -7k

Reorder the terms:
-20 + -4k + -1(-5 + 2k) = -7k
-20 + -4k + (-5 * -1 + 2k * -1) = -7k
-20 + -4k + (5 + -2k) = -7k

Reorder the terms:
-20 + 5 + -4k + -2k = -7k

Combine like terms: -20 + 5 = -15
-15 + -4k + -2k = -7k

Combine like terms: -4k + -2k = -6k
-15 + -6k = -7k

Solving
-15 + -6k = -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.
-15 + -6k + 7k = -7k + 7k

Combine like terms: -6k + 7k = 1k
-15 + 1k = -7k + 7k

Combine like terms: -7k + 7k = 0
-15 + 1k = 0

Add '15' to each side of the equation.
-15 + 15 + 1k = 0 + 15

Combine like terms: -15 + 15 = 0
0 + 1k = 0 + 15
1k = 0 + 15

Combine like terms: 0 + 15 = 15
1k = 15

Divide each side by '1'.
k = 15

Simplifying
k = 15

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