-4(z-5)-(-3z-5)=-2z

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Solution for -4(z-5)-(-3z-5)=-2z equation:


Simplifying
-4(z + -5) + -1(-3z + -5) = -2z

Reorder the terms:
-4(-5 + z) + -1(-3z + -5) = -2z
(-5 * -4 + z * -4) + -1(-3z + -5) = -2z
(20 + -4z) + -1(-3z + -5) = -2z

Reorder the terms:
20 + -4z + -1(-5 + -3z) = -2z
20 + -4z + (-5 * -1 + -3z * -1) = -2z
20 + -4z + (5 + 3z) = -2z

Reorder the terms:
20 + 5 + -4z + 3z = -2z

Combine like terms: 20 + 5 = 25
25 + -4z + 3z = -2z

Combine like terms: -4z + 3z = -1z
25 + -1z = -2z

Solving
25 + -1z = -2z

Solving for variable 'z'.

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

Add '2z' to each side of the equation.
25 + -1z + 2z = -2z + 2z

Combine like terms: -1z + 2z = 1z
25 + 1z = -2z + 2z

Combine like terms: -2z + 2z = 0
25 + 1z = 0

Add '-25' to each side of the equation.
25 + -25 + 1z = 0 + -25

Combine like terms: 25 + -25 = 0
0 + 1z = 0 + -25
1z = 0 + -25

Combine like terms: 0 + -25 = -25
1z = -25

Divide each side by '1'.
z = -25

Simplifying
z = -25

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