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

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


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

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

Combine like terms: 2 + 2.5 = 4.5
12.5 + 5z = 5(4.5)

Multiply 5 * 4.5
12.5 + 5z = 22.5

Solving
12.5 + 5z = 22.5

Solving for variable 'z'.

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

Add '-12.5' to each side of the equation.
12.5 + -12.5 + 5z = 22.5 + -12.5

Combine like terms: 12.5 + -12.5 = 0.0
0.0 + 5z = 22.5 + -12.5
5z = 22.5 + -12.5

Combine like terms: 22.5 + -12.5 = 10
5z = 10

Divide each side by '5'.
z = 2

Simplifying
z = 2

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