5+1.5(z+2)=3.5z-4

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Solution for 5+1.5(z+2)=3.5z-4 equation: 


Simplifying
5 + 1.5(z + 2) = 3.5z + -4

Reorder the terms:
5 + 1.5(2 + z) = 3.5z + -4
5 + (2 * 1.5 + z * 1.5) = 3.5z + -4
5 + (3 + 1.5z) = 3.5z + -4

Combine like terms: 5 + 3 = 8
8 + 1.5z = 3.5z + -4

Reorder the terms:
8 + 1.5z = -4 + 3.5z

Solving
8 + 1.5z = -4 + 3.5z

Solving for variable 'z'.

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

Add '-3.5z' to each side of the equation.
8 + 1.5z + -3.5z = -4 + 3.5z + -3.5z

Combine like terms: 1.5z + -3.5z = -2z
8 + -2z = -4 + 3.5z + -3.5z

Combine like terms: 3.5z + -3.5z = 0.0
8 + -2z = -4 + 0.0
8 + -2z = -4

Add '-8' to each side of the equation.
8 + -8 + -2z = -4 + -8

Combine like terms: 8 + -8 = 0
0 + -2z = -4 + -8
-2z = -4 + -8

Combine like terms: -4 + -8 = -12
-2z = -12

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

Simplifying
z = 6

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