3+1.5(z+6)=3.5z-2

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Solution for 3+1.5(z+6)=3.5z-2 equation: 


Simplifying
3 + 1.5(z + 6) = 3.5z + -2

Reorder the terms:
3 + 1.5(6 + z) = 3.5z + -2
3 + (6 * 1.5 + z * 1.5) = 3.5z + -2
3 + (9 + 1.5z) = 3.5z + -2

Combine like terms: 3 + 9 = 12
12 + 1.5z = 3.5z + -2

Reorder the terms:
12 + 1.5z = -2 + 3.5z

Solving
12 + 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.
12 + 1.5z + -3.5z = -2 + 3.5z + -3.5z

Combine like terms: 1.5z + -3.5z = -2z
12 + -2z = -2 + 3.5z + -3.5z

Combine like terms: 3.5z + -3.5z = 0.0
12 + -2z = -2 + 0.0
12 + -2z = -2

Add '-12' to each side of the equation.
12 + -12 + -2z = -2 + -12

Combine like terms: 12 + -12 = 0
0 + -2z = -2 + -12
-2z = -2 + -12

Combine like terms: -2 + -12 = -14
-2z = -14

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

Simplifying
z = 7

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