-2.7(z+1.5)=1.8(z+4)

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Solution for -2.7(z+1.5)=1.8(z+4) equation:


Simplifying
-2.7(z + 1.5) = 1.8(z + 4)

Reorder the terms:
-2.7(1.5 + z) = 1.8(z + 4)
(1.5 * -2.7 + z * -2.7) = 1.8(z + 4)
(-4.05 + -2.7z) = 1.8(z + 4)

Reorder the terms:
-4.05 + -2.7z = 1.8(4 + z)
-4.05 + -2.7z = (4 * 1.8 + z * 1.8)
-4.05 + -2.7z = (7.2 + 1.8z)

Solving
-4.05 + -2.7z = 7.2 + 1.8z

Solving for variable 'z'.

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

Add '-1.8z' to each side of the equation.
-4.05 + -2.7z + -1.8z = 7.2 + 1.8z + -1.8z

Combine like terms: -2.7z + -1.8z = -4.5z
-4.05 + -4.5z = 7.2 + 1.8z + -1.8z

Combine like terms: 1.8z + -1.8z = 0.0
-4.05 + -4.5z = 7.2 + 0.0
-4.05 + -4.5z = 7.2

Add '4.05' to each side of the equation.
-4.05 + 4.05 + -4.5z = 7.2 + 4.05

Combine like terms: -4.05 + 4.05 = 0.00
0.00 + -4.5z = 7.2 + 4.05
-4.5z = 7.2 + 4.05

Combine like terms: 7.2 + 4.05 = 11.25
-4.5z = 11.25

Divide each side by '-4.5'.
z = -2.5

Simplifying
z = -2.5

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