(67.38+-3.63(1.16+-0.71z)+-3.44z)(280.79)+1020.12(1.16+-0.71z)+966.52z=18920.62

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Solution for (67.38+-3.63(1.16+-0.71z)+-3.44z)(280.79)+1020.12(1.16+-0.71z)+966.52z=18920.62 equation: 


Simplifying
(67.38 + -3.63(1.16 + -0.71z) + -3.44z)(280.79) + 1020.12(1.16 + -0.71z) + 966.52z = 18920.62
(67.38 + (1.16 * -3.63 + -0.71z * -3.63) + -3.44z)(280.79) + 1020.12(1.16 + -0.71z) + 966.52z = 18920.62
(67.38 + (-4.2108 + 2.5773z) + -3.44z)(280.79) + 1020.12(1.16 + -0.71z) + 966.52z = 18920.62

Combine like terms: 67.38 + -4.2108 = 63.1692
(63.1692 + 2.5773z + -3.44z)(280.79) + 1020.12(1.16 + -0.71z) + 966.52z = 18920.62

Combine like terms: 2.5773z + -3.44z = -0.8627z
(63.1692 + -0.8627z)(280.79) + 1020.12(1.16 + -0.71z) + 966.52z = 18920.62

Reorder the terms for easier multiplication:
280.79(63.1692 + -0.8627z) + 1020.12(1.16 + -0.71z) + 966.52z = 18920.62
(63.1692 * 280.79 + -0.8627z * 280.79) + 1020.12(1.16 + -0.71z) + 966.52z = 18920.62
(17737.27967 + -242.237533z) + 1020.12(1.16 + -0.71z) + 966.52z = 18920.62
17737.27967 + -242.237533z + (1.16 * 1020.12 + -0.71z * 1020.12) + 966.52z = 18920.62
17737.27967 + -242.237533z + (1183.3392 + -724.2852z) + 966.52z = 18920.62

Reorder the terms:
17737.27967 + 1183.3392 + -242.237533z + -724.2852z + 966.52z = 18920.62

Combine like terms: 17737.27967 + 1183.3392 = 18920.61887
18920.61887 + -242.237533z + -724.2852z + 966.52z = 18920.62

Combine like terms: -242.237533z + -724.2852z = -966.522733z
18920.61887 + -966.522733z + 966.52z = 18920.62

Combine like terms: -966.522733z + 966.52z = -0.002733z
18920.61887 + -0.002733z = 18920.62

Solving
18920.61887 + -0.002733z = 18920.62

Solving for variable 'z'.

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

Add '-18920.61887' to each side of the equation.
18920.61887 + -18920.61887 + -0.002733z = 18920.62 + -18920.61887

Combine like terms: 18920.61887 + -18920.61887 = 0.00000
0.00000 + -0.002733z = 18920.62 + -18920.61887
-0.002733z = 18920.62 + -18920.61887

Combine like terms: 18920.62 + -18920.61887 = 0.00113
-0.002733z = 0.00113

Divide each side by '-0.002733'.
z = -0.4134650567

Simplifying
z = -0.4134650567

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