-1.4(z-0.5)=-0.7(z+19)

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Solution for -1.4(z-0.5)=-0.7(z+19) equation: 


Simplifying
-1.4(z + -0.5) = -0.7(z + 19)

Reorder the terms:
-1.4(-0.5 + z) = -0.7(z + 19)
(-0.5 * -1.4 + z * -1.4) = -0.7(z + 19)
(0.7 + -1.4z) = -0.7(z + 19)

Reorder the terms:
0.7 + -1.4z = -0.7(19 + z)
0.7 + -1.4z = (19 * -0.7 + z * -0.7)
0.7 + -1.4z = (-13.3 + -0.7z)

Solving
0.7 + -1.4z = -13.3 + -0.7z

Solving for variable 'z'.

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

Add '0.7z' to each side of the equation.
0.7 + -1.4z + 0.7z = -13.3 + -0.7z + 0.7z

Combine like terms: -1.4z + 0.7z = -0.7z
0.7 + -0.7z = -13.3 + -0.7z + 0.7z

Combine like terms: -0.7z + 0.7z = 0.0
0.7 + -0.7z = -13.3 + 0.0
0.7 + -0.7z = -13.3

Add '-0.7' to each side of the equation.
0.7 + -0.7 + -0.7z = -13.3 + -0.7

Combine like terms: 0.7 + -0.7 = 0.0
0.0 + -0.7z = -13.3 + -0.7
-0.7z = -13.3 + -0.7

Combine like terms: -13.3 + -0.7 = -14
-0.7z = -14

Divide each side by '-0.7'.
z = 20

Simplifying
z = 20

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