7.4=-2.7(z+3.2)

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Solution for 7.4=-2.7(z+3.2) equation: 


Simplifying
7.4 = -2.7(z + 3.2)

Reorder the terms:
7.4 = -2.7(3.2 + z)
7.4 = (3.2 * -2.7 + z * -2.7)
7.4 = (-8.64 + -2.7z)

Solving
7.4 = -8.64 + -2.7z

Solving for variable 'z'.

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

Add '2.7z' to each side of the equation.
7.4 + 2.7z = -8.64 + -2.7z + 2.7z

Combine like terms: -2.7z + 2.7z = 0.0
7.4 + 2.7z = -8.64 + 0.0
7.4 + 2.7z = -8.64

Add '-7.4' to each side of the equation.
7.4 + -7.4 + 2.7z = -8.64 + -7.4

Combine like terms: 7.4 + -7.4 = 0.0
0.0 + 2.7z = -8.64 + -7.4
2.7z = -8.64 + -7.4

Combine like terms: -8.64 + -7.4 = -16.04
2.7z = -16.04

Divide each side by '2.7'.
z = -5.940740741

Simplifying
z = -5.940740741

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