(z)2443.73+(1-0.17-z)*584.28+(0.17)+908.79=561.47

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Solution for (z)2443.73+(1-0.17-z)*584.28+(0.17)+908.79=561.47 equation:


Simplifying
(z) * 2443.73 + (1 + -0.17 + -1z) * 584.28 + (0.17) + 908.79 = 561.47

Reorder the terms for easier multiplication:
2443.73z + (1 + -0.17 + -1z) * 584.28 + (0.17) + 908.79 = 561.47

Combine like terms: 1 + -0.17 = 0.83
2443.73z + (0.83 + -1z) * 584.28 + (0.17) + 908.79 = 561.47

Reorder the terms for easier multiplication:
2443.73z + 584.28(0.83 + -1z) + (0.17) + 908.79 = 561.47
2443.73z + (0.83 * 584.28 + -1z * 584.28) + (0.17) + 908.79 = 561.47
2443.73z + (484.9524 + -584.28z) + (0.17) + 908.79 = 561.47
2443.73z + 484.9524 + -584.28z + 0.17 + 908.79 = 561.47

Reorder the terms:
484.9524 + 0.17 + 908.79 + 2443.73z + -584.28z = 561.47

Combine like terms: 484.9524 + 0.17 = 485.1224
485.1224 + 908.79 + 2443.73z + -584.28z = 561.47

Combine like terms: 485.1224 + 908.79 = 1393.9124
1393.9124 + 2443.73z + -584.28z = 561.47

Combine like terms: 2443.73z + -584.28z = 1859.45z
1393.9124 + 1859.45z = 561.47

Solving
1393.9124 + 1859.45z = 561.47

Solving for variable 'z'.

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

Add '-1393.9124' to each side of the equation.
1393.9124 + -1393.9124 + 1859.45z = 561.47 + -1393.9124

Combine like terms: 1393.9124 + -1393.9124 = 0.0000
0.0000 + 1859.45z = 561.47 + -1393.9124
1859.45z = 561.47 + -1393.9124

Combine like terms: 561.47 + -1393.9124 = -832.4424
1859.45z = -832.4424

Divide each side by '1859.45'.
z = -0.4476820565

Simplifying
z = -0.4476820565

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