2.8(z-1)=0.8(z-1.5)

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Solution for 2.8(z-1)=0.8(z-1.5) equation:


Simplifying
2.8(z + -1) = 0.8(z + -1.5)

Reorder the terms:
2.8(-1 + z) = 0.8(z + -1.5)
(-1 * 2.8 + z * 2.8) = 0.8(z + -1.5)
(-2.8 + 2.8z) = 0.8(z + -1.5)

Reorder the terms:
-2.8 + 2.8z = 0.8(-1.5 + z)
-2.8 + 2.8z = (-1.5 * 0.8 + z * 0.8)
-2.8 + 2.8z = (-1.2 + 0.8z)

Solving
-2.8 + 2.8z = -1.2 + 0.8z

Solving for variable 'z'.

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

Add '-0.8z' to each side of the equation.
-2.8 + 2.8z + -0.8z = -1.2 + 0.8z + -0.8z

Combine like terms: 2.8z + -0.8z = 2z
-2.8 + 2z = -1.2 + 0.8z + -0.8z

Combine like terms: 0.8z + -0.8z = 0.0
-2.8 + 2z = -1.2 + 0.0
-2.8 + 2z = -1.2

Add '2.8' to each side of the equation.
-2.8 + 2.8 + 2z = -1.2 + 2.8

Combine like terms: -2.8 + 2.8 = 0.0
0.0 + 2z = -1.2 + 2.8
2z = -1.2 + 2.8

Combine like terms: -1.2 + 2.8 = 1.6
2z = 1.6

Divide each side by '2'.
z = 0.8

Simplifying
z = 0.8

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