0.9(z-3)-0.2(z-5)=0.4(z+1)+0.3z-2.1

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Solution for 0.9(z-3)-0.2(z-5)=0.4(z+1)+0.3z-2.1 equation: 


Simplifying
0.9(z + -3) + -0.2(z + -5) = 0.4(z + 1) + 0.3z + -2.1

Reorder the terms:
0.9(-3 + z) + -0.2(z + -5) = 0.4(z + 1) + 0.3z + -2.1
(-3 * 0.9 + z * 0.9) + -0.2(z + -5) = 0.4(z + 1) + 0.3z + -2.1
(-2.7 + 0.9z) + -0.2(z + -5) = 0.4(z + 1) + 0.3z + -2.1

Reorder the terms:
-2.7 + 0.9z + -0.2(-5 + z) = 0.4(z + 1) + 0.3z + -2.1
-2.7 + 0.9z + (-5 * -0.2 + z * -0.2) = 0.4(z + 1) + 0.3z + -2.1
-2.7 + 0.9z + (1 + -0.2z) = 0.4(z + 1) + 0.3z + -2.1

Reorder the terms:
-2.7 + 1 + 0.9z + -0.2z = 0.4(z + 1) + 0.3z + -2.1

Combine like terms: -2.7 + 1 = -1.7
-1.7 + 0.9z + -0.2z = 0.4(z + 1) + 0.3z + -2.1

Combine like terms: 0.9z + -0.2z = 0.7z
-1.7 + 0.7z = 0.4(z + 1) + 0.3z + -2.1

Reorder the terms:
-1.7 + 0.7z = 0.4(1 + z) + 0.3z + -2.1
-1.7 + 0.7z = (1 * 0.4 + z * 0.4) + 0.3z + -2.1
-1.7 + 0.7z = (0.4 + 0.4z) + 0.3z + -2.1

Reorder the terms:
-1.7 + 0.7z = 0.4 + -2.1 + 0.4z + 0.3z

Combine like terms: 0.4 + -2.1 = -1.7
-1.7 + 0.7z = -1.7 + 0.4z + 0.3z

Combine like terms: 0.4z + 0.3z = 0.7z
-1.7 + 0.7z = -1.7 + 0.7z

Add '1.7' to each side of the equation.
-1.7 + 1.7 + 0.7z = -1.7 + 1.7 + 0.7z

Combine like terms: -1.7 + 1.7 = 0.0
0.0 + 0.7z = -1.7 + 1.7 + 0.7z
0.7z = -1.7 + 1.7 + 0.7z

Combine like terms: -1.7 + 1.7 = 0.0
0.7z = 0.0 + 0.7z
0.7z = 0.7z

Add '-0.7z' to each side of the equation.
0.7z + -0.7z = 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
0.0 = 0.7z + -0.7z

Combine like terms: 0.7z + -0.7z = 0.0
0.0 = 0.0

Solving
0.0 = 0.0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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