4+1.5(z+2)=3.5z-3

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Solution for 4+1.5(z+2)=3.5z-3 equation: 


Simplifying
4 + 1.5(z + 2) = 3.5z + -3

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

Combine like terms: 4 + 3 = 7
7 + 1.5z = 3.5z + -3

Reorder the terms:
7 + 1.5z = -3 + 3.5z

Solving
7 + 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.
7 + 1.5z + -3.5z = -3 + 3.5z + -3.5z

Combine like terms: 1.5z + -3.5z = -2z
7 + -2z = -3 + 3.5z + -3.5z

Combine like terms: 3.5z + -3.5z = 0.0
7 + -2z = -3 + 0.0
7 + -2z = -3

Add '-7' to each side of the equation.
7 + -7 + -2z = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -2z = -3 + -7
-2z = -3 + -7

Combine like terms: -3 + -7 = -10
-2z = -10

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

Simplifying
z = 5

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