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

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


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

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

Combine like terms: 2 + 9 = 11
11 + 1.5z = 3.5z + -3

Reorder the terms:
11 + 1.5z = -3 + 3.5z

Solving
11 + 1.5z = -3 + 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.
11 + 1.5z + -3.5z = -3 + 3.5z + -3.5z

Combine like terms: 1.5z + -3.5z = -2z
11 + -2z = -3 + 3.5z + -3.5z

Combine like terms: 3.5z + -3.5z = 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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