.4z+.5=-2.9-1.3z

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Solution for .4z+.5=-2.9-1.3z equation: 


Simplifying
0.4z + 0.5 = -2.9 + -1.3z

Reorder the terms:
0.5 + 0.4z = -2.9 + -1.3z

Solving
0.5 + 0.4z = -2.9 + -1.3z

Solving for variable 'z'.

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

Add '1.3z' to each side of the equation.
0.5 + 0.4z + 1.3z = -2.9 + -1.3z + 1.3z

Combine like terms: 0.4z + 1.3z = 1.7z
0.5 + 1.7z = -2.9 + -1.3z + 1.3z

Combine like terms: -1.3z + 1.3z = 0.0
0.5 + 1.7z = -2.9 + 0.0
0.5 + 1.7z = -2.9

Add '-0.5' to each side of the equation.
0.5 + -0.5 + 1.7z = -2.9 + -0.5

Combine like terms: 0.5 + -0.5 = 0.0
0.0 + 1.7z = -2.9 + -0.5
1.7z = -2.9 + -0.5

Combine like terms: -2.9 + -0.5 = -3.4
1.7z = -3.4

Divide each side by '1.7'.
z = -2

Simplifying
z = -2

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