-2.5(2z+5)=5z+2.5

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Solution for -2.5(2z+5)=5z+2.5 equation:


Simplifying
-2.5(2z + 5) = 5z + 2.5

Reorder the terms:
-2.5(5 + 2z) = 5z + 2.5
(5 * -2.5 + 2z * -2.5) = 5z + 2.5
(-12.5 + -5z) = 5z + 2.5

Reorder the terms:
-12.5 + -5z = 2.5 + 5z

Solving
-12.5 + -5z = 2.5 + 5z

Solving for variable 'z'.

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

Add '-5z' to each side of the equation.
-12.5 + -5z + -5z = 2.5 + 5z + -5z

Combine like terms: -5z + -5z = -10z
-12.5 + -10z = 2.5 + 5z + -5z

Combine like terms: 5z + -5z = 0
-12.5 + -10z = 2.5 + 0
-12.5 + -10z = 2.5

Add '12.5' to each side of the equation.
-12.5 + 12.5 + -10z = 2.5 + 12.5

Combine like terms: -12.5 + 12.5 = 0.0
0.0 + -10z = 2.5 + 12.5
-10z = 2.5 + 12.5

Combine like terms: 2.5 + 12.5 = 15
-10z = 15

Divide each side by '-10'.
z = -1.5

Simplifying
z = -1.5

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