1.8(z+0.5)=-2.7(z+5)

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Solution for 1.8(z+0.5)=-2.7(z+5) equation:


Simplifying
1.8(z + 0.5) = -2.7(z + 5)

Reorder the terms:
1.8(0.5 + z) = -2.7(z + 5)
(0.5 * 1.8 + z * 1.8) = -2.7(z + 5)
(0.9 + 1.8z) = -2.7(z + 5)

Reorder the terms:
0.9 + 1.8z = -2.7(5 + z)
0.9 + 1.8z = (5 * -2.7 + z * -2.7)
0.9 + 1.8z = (-13.5 + -2.7z)

Solving
0.9 + 1.8z = -13.5 + -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.
0.9 + 1.8z + 2.7z = -13.5 + -2.7z + 2.7z

Combine like terms: 1.8z + 2.7z = 4.5z
0.9 + 4.5z = -13.5 + -2.7z + 2.7z

Combine like terms: -2.7z + 2.7z = 0.0
0.9 + 4.5z = -13.5 + 0.0
0.9 + 4.5z = -13.5

Add '-0.9' to each side of the equation.
0.9 + -0.9 + 4.5z = -13.5 + -0.9

Combine like terms: 0.9 + -0.9 = 0.0
0.0 + 4.5z = -13.5 + -0.9
4.5z = -13.5 + -0.9

Combine like terms: -13.5 + -0.9 = -14.4
4.5z = -14.4

Divide each side by '4.5'.
z = -3.2

Simplifying
z = -3.2

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