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

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


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

Reorder the terms:
2 + 1.5(4 + z) = 3.5z + -2
2 + (4 * 1.5 + z * 1.5) = 3.5z + -2
2 + (6 + 1.5z) = 3.5z + -2

Combine like terms: 2 + 6 = 8
8 + 1.5z = 3.5z + -2

Reorder the terms:
8 + 1.5z = -2 + 3.5z

Solving
8 + 1.5z = -2 + 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 = -2 + 3.5z + -3.5z

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

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

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

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

Combine like terms: -2 + -8 = -10
-2z = -10

Divide each side by '-2'.
z = 5

Simplifying
z = 5

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