1.4(z-5)-0.2=0.5(6z-8)

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Solution for 1.4(z-5)-0.2=0.5(6z-8) equation:


Simplifying
1.4(z + -5) + -0.2 = 0.5(6z + -8)

Reorder the terms:
1.4(-5 + z) + -0.2 = 0.5(6z + -8)
(-5 * 1.4 + z * 1.4) + -0.2 = 0.5(6z + -8)
(-7 + 1.4z) + -0.2 = 0.5(6z + -8)

Reorder the terms:
-7 + -0.2 + 1.4z = 0.5(6z + -8)

Combine like terms: -7 + -0.2 = -7.2
-7.2 + 1.4z = 0.5(6z + -8)

Reorder the terms:
-7.2 + 1.4z = 0.5(-8 + 6z)
-7.2 + 1.4z = (-8 * 0.5 + 6z * 0.5)
-7.2 + 1.4z = (-4 + 3z)

Solving
-7.2 + 1.4z = -4 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
-7.2 + 1.4z + -3z = -4 + 3z + -3z

Combine like terms: 1.4z + -3z = -1.6z
-7.2 + -1.6z = -4 + 3z + -3z

Combine like terms: 3z + -3z = 0
-7.2 + -1.6z = -4 + 0
-7.2 + -1.6z = -4

Add '7.2' to each side of the equation.
-7.2 + 7.2 + -1.6z = -4 + 7.2

Combine like terms: -7.2 + 7.2 = 0.0
0.0 + -1.6z = -4 + 7.2
-1.6z = -4 + 7.2

Combine like terms: -4 + 7.2 = 3.2
-1.6z = 3.2

Divide each side by '-1.6'.
z = -2

Simplifying
z = -2

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