29.5=9+8(z+2.5)

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Solution for 29.5=9+8(z+2.5) equation: 


Simplifying
29.5 = 9 + 8(z + 2.5)

Reorder the terms:
29.5 = 9 + 8(2.5 + z)
29.5 = 9 + (2.5 * 8 + z * 8)
29.5 = 9 + (20 + 8z)

Combine like terms: 9 + 20 = 29
29.5 = 29 + 8z

Solving
29.5 = 29 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
29.5 + -8z = 29 + 8z + -8z

Combine like terms: 8z + -8z = 0
29.5 + -8z = 29 + 0
29.5 + -8z = 29

Add '-29.5' to each side of the equation.
29.5 + -29.5 + -8z = 29 + -29.5

Combine like terms: 29.5 + -29.5 = 0.0
0.0 + -8z = 29 + -29.5
-8z = 29 + -29.5

Combine like terms: 29 + -29.5 = -0.5
-8z = -0.5

Divide each side by '-8'.
z = 0.0625

Simplifying
z = 0.0625

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