0.7(z-17)=-0.3(z-0.5)

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Solution for 0.7(z-17)=-0.3(z-0.5) equation: 


Simplifying
0.7(z + -17) = -0.3(z + -0.5)

Reorder the terms:
0.7(-17 + z) = -0.3(z + -0.5)
(-17 * 0.7 + z * 0.7) = -0.3(z + -0.5)
(-11.9 + 0.7z) = -0.3(z + -0.5)

Reorder the terms:
-11.9 + 0.7z = -0.3(-0.5 + z)
-11.9 + 0.7z = (-0.5 * -0.3 + z * -0.3)
-11.9 + 0.7z = (0.15 + -0.3z)

Solving
-11.9 + 0.7z = 0.15 + -0.3z

Solving for variable 'z'.

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

Add '0.3z' to each side of the equation.
-11.9 + 0.7z + 0.3z = 0.15 + -0.3z + 0.3z

Combine like terms: 0.7z + 0.3z = 1z
-11.9 + 1z = 0.15 + -0.3z + 0.3z

Combine like terms: -0.3z + 0.3z = 0.0
-11.9 + 1z = 0.15 + 0.0
-11.9 + 1z = 0.15

Add '11.9' to each side of the equation.
-11.9 + 11.9 + 1z = 0.15 + 11.9

Combine like terms: -11.9 + 11.9 = 0.0
0.0 + 1z = 0.15 + 11.9
1z = 0.15 + 11.9

Combine like terms: 0.15 + 11.9 = 12.05
1z = 12.05

Divide each side by '1'.
z = 12.05

Simplifying
z = 12.05

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