2+2.5(z+2)=4.5(z)-1

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Solution for 2+2.5(z+2)=4.5(z)-1 equation: 


Simplifying
2 + 2.5(z + 2) = 4.5(z) + -1

Reorder the terms:
2 + 2.5(2 + z) = 4.5(z) + -1
2 + (2 * 2.5 + z * 2.5) = 4.5(z) + -1
2 + (5 + 2.5z) = 4.5(z) + -1

Combine like terms: 2 + 5 = 7
7 + 2.5z = 4.5(z) + -1

Reorder the terms:
7 + 2.5z = -1 + 4.5z

Solving
7 + 2.5z = -1 + 4.5z

Solving for variable 'z'.

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

Add '-4.5z' to each side of the equation.
7 + 2.5z + -4.5z = -1 + 4.5z + -4.5z

Combine like terms: 2.5z + -4.5z = -2z
7 + -2z = -1 + 4.5z + -4.5z

Combine like terms: 4.5z + -4.5z = 0.0
7 + -2z = -1 + 0.0
7 + -2z = -1

Add '-7' to each side of the equation.
7 + -7 + -2z = -1 + -7

Combine like terms: 7 + -7 = 0
0 + -2z = -1 + -7
-2z = -1 + -7

Combine like terms: -1 + -7 = -8
-2z = -8

Divide each side by '-2'.
z = 4

Simplifying
z = 4

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