4+3.5(z+2)=5.5z-3

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Solution for 4+3.5(z+2)=5.5z-3 equation: 


Simplifying
4 + 3.5(z + 2) = 5.5z + -3

Reorder the terms:
4 + 3.5(2 + z) = 5.5z + -3
4 + (2 * 3.5 + z * 3.5) = 5.5z + -3
4 + (7 + 3.5z) = 5.5z + -3

Combine like terms: 4 + 7 = 11
11 + 3.5z = 5.5z + -3

Reorder the terms:
11 + 3.5z = -3 + 5.5z

Solving
11 + 3.5z = -3 + 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.
11 + 3.5z + -5.5z = -3 + 5.5z + -5.5z

Combine like terms: 3.5z + -5.5z = -2z
11 + -2z = -3 + 5.5z + -5.5z

Combine like terms: 5.5z + -5.5z = 0.0
11 + -2z = -3 + 0.0
11 + -2z = -3

Add '-11' to each side of the equation.
11 + -11 + -2z = -3 + -11

Combine like terms: 11 + -11 = 0
0 + -2z = -3 + -11
-2z = -3 + -11

Combine like terms: -3 + -11 = -14
-2z = -14

Divide each side by '-2'.
z = 7

Simplifying
z = 7

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