0.8(z-15)=-0.8(z-1)

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Solution for 0.8(z-15)=-0.8(z-1) equation:


Simplifying
0.8(z + -15) = -0.8(z + -1)

Reorder the terms:
0.8(-15 + z) = -0.8(z + -1)
(-15 * 0.8 + z * 0.8) = -0.8(z + -1)
(-12 + 0.8z) = -0.8(z + -1)

Reorder the terms:
-12 + 0.8z = -0.8(-1 + z)
-12 + 0.8z = (-1 * -0.8 + z * -0.8)
-12 + 0.8z = (0.8 + -0.8z)

Solving
-12 + 0.8z = 0.8 + -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.
-12 + 0.8z + 0.8z = 0.8 + -0.8z + 0.8z

Combine like terms: 0.8z + 0.8z = 1.6z
-12 + 1.6z = 0.8 + -0.8z + 0.8z

Combine like terms: -0.8z + 0.8z = 0.0
-12 + 1.6z = 0.8 + 0.0
-12 + 1.6z = 0.8

Add '12' to each side of the equation.
-12 + 12 + 1.6z = 0.8 + 12

Combine like terms: -12 + 12 = 0
0 + 1.6z = 0.8 + 12
1.6z = 0.8 + 12

Combine like terms: 0.8 + 12 = 12.8
1.6z = 12.8

Divide each side by '1.6'.
z = 8

Simplifying
z = 8

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