3+3.5(z+2)=5.5z-2

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Solution for 3+3.5(z+2)=5.5z-2 equation: 


Simplifying
3 + 3.5(z + 2) = 5.5z + -2

Reorder the terms:
3 + 3.5(2 + z) = 5.5z + -2
3 + (2 * 3.5 + z * 3.5) = 5.5z + -2
3 + (7 + 3.5z) = 5.5z + -2

Combine like terms: 3 + 7 = 10
10 + 3.5z = 5.5z + -2

Reorder the terms:
10 + 3.5z = -2 + 5.5z

Solving
10 + 3.5z = -2 + 5.5z

Solving for variable 'z'.

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

Add '-5.5z' to each side of the equation.
10 + 3.5z + -5.5z = -2 + 5.5z + -5.5z

Combine like terms: 3.5z + -5.5z = -2z
10 + -2z = -2 + 5.5z + -5.5z

Combine like terms: 5.5z + -5.5z = 0.0
10 + -2z = -2 + 0.0
10 + -2z = -2

Add '-10' to each side of the equation.
10 + -10 + -2z = -2 + -10

Combine like terms: 10 + -10 = 0
0 + -2z = -2 + -10
-2z = -2 + -10

Combine like terms: -2 + -10 = -12
-2z = -12

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

Simplifying
z = 6

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