3(551.67-2.67(-413.23-0.50z)-1.33z)+8(-413.23-0.5z)+4z=1655

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Solution for 3(551.67-2.67(-413.23-0.50z)-1.33z)+8(-413.23-0.5z)+4z=1655 equation: 


Simplifying
3(551.67 + -2.67(-413.23 + -0.50z) + -1.33z) + 8(-413.23 + -0.5z) + 4z = 1655
3(551.67 + (-413.23 * -2.67 + -0.50z * -2.67) + -1.33z) + 8(-413.23 + -0.5z) + 4z = 1655
3(551.67 + (1103.3241 + 1.335z) + -1.33z) + 8(-413.23 + -0.5z) + 4z = 1655

Combine like terms: 551.67 + 1103.3241 = 1654.9941
3(1654.9941 + 1.335z + -1.33z) + 8(-413.23 + -0.5z) + 4z = 1655

Combine like terms: 1.335z + -1.33z = 0.005z
3(1654.9941 + 0.005z) + 8(-413.23 + -0.5z) + 4z = 1655
(1654.9941 * 3 + 0.005z * 3) + 8(-413.23 + -0.5z) + 4z = 1655
(4964.9823 + 0.015z) + 8(-413.23 + -0.5z) + 4z = 1655
4964.9823 + 0.015z + (-413.23 * 8 + -0.5z * 8) + 4z = 1655
4964.9823 + 0.015z + (-3305.84 + -4z) + 4z = 1655

Reorder the terms:
4964.9823 + -3305.84 + 0.015z + -4z + 4z = 1655

Combine like terms: 4964.9823 + -3305.84 = 1659.1423
1659.1423 + 0.015z + -4z + 4z = 1655

Combine like terms: 0.015z + -4z = -3.985z
1659.1423 + -3.985z + 4z = 1655

Combine like terms: -3.985z + 4z = 0.015z
1659.1423 + 0.015z = 1655

Solving
1659.1423 + 0.015z = 1655

Solving for variable 'z'.

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

Add '-1659.1423' to each side of the equation.
1659.1423 + -1659.1423 + 0.015z = 1655 + -1659.1423

Combine like terms: 1659.1423 + -1659.1423 = 0.0000
0.0000 + 0.015z = 1655 + -1659.1423
0.015z = 1655 + -1659.1423

Combine like terms: 1655 + -1659.1423 = -4.1423
0.015z = -4.1423

Divide each side by '0.015'.
z = -276.1533333

Simplifying
z = -276.1533333

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