.11(z+.8)=.17(z-1)

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Solution for .11(z+.8)=.17(z-1) equation:


Simplifying
0.11(z + 0.8) = 0.17(z + -1)

Reorder the terms:
0.11(0.8 + z) = 0.17(z + -1)
(0.8 * 0.11 + z * 0.11) = 0.17(z + -1)
(0.088 + 0.11z) = 0.17(z + -1)

Reorder the terms:
0.088 + 0.11z = 0.17(-1 + z)
0.088 + 0.11z = (-1 * 0.17 + z * 0.17)
0.088 + 0.11z = (-0.17 + 0.17z)

Solving
0.088 + 0.11z = -0.17 + 0.17z

Solving for variable 'z'.

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

Add '-0.17z' to each side of the equation.
0.088 + 0.11z + -0.17z = -0.17 + 0.17z + -0.17z

Combine like terms: 0.11z + -0.17z = -0.06z
0.088 + -0.06z = -0.17 + 0.17z + -0.17z

Combine like terms: 0.17z + -0.17z = 0.00
0.088 + -0.06z = -0.17 + 0.00
0.088 + -0.06z = -0.17

Add '-0.088' to each side of the equation.
0.088 + -0.088 + -0.06z = -0.17 + -0.088

Combine like terms: 0.088 + -0.088 = 0.000
0.000 + -0.06z = -0.17 + -0.088
-0.06z = -0.17 + -0.088

Combine like terms: -0.17 + -0.088 = -0.258
-0.06z = -0.258

Divide each side by '-0.06'.
z = 4.3

Simplifying
z = 4.3

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