4+2.5(z+2)=4.5z-3

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Solution for 4+2.5(z+2)=4.5z-3 equation: 


Simplifying
4 + 2.5(z + 2) = 4.5z + -3

Reorder the terms:
4 + 2.5(2 + z) = 4.5z + -3
4 + (2 * 2.5 + z * 2.5) = 4.5z + -3
4 + (5 + 2.5z) = 4.5z + -3

Combine like terms: 4 + 5 = 9
9 + 2.5z = 4.5z + -3

Reorder the terms:
9 + 2.5z = -3 + 4.5z

Solving
9 + 2.5z = -3 + 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.
9 + 2.5z + -4.5z = -3 + 4.5z + -4.5z

Combine like terms: 2.5z + -4.5z = -2z
9 + -2z = -3 + 4.5z + -4.5z

Combine like terms: 4.5z + -4.5z = 0.0
9 + -2z = -3 + 0.0
9 + -2z = -3

Add '-9' to each side of the equation.
9 + -9 + -2z = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -2z = -3 + -9
-2z = -3 + -9

Combine like terms: -3 + -9 = -12
-2z = -12

Divide each side by '-2'.
z = 6

Simplifying
z = 6

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