-(-27z-7)-29z=28+(10z-16)-15

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Solution for -(-27z-7)-29z=28+(10z-16)-15 equation:


Simplifying
-1(-27z + -7) + -29z = 28 + (10z + -16) + -15

Reorder the terms:
-1(-7 + -27z) + -29z = 28 + (10z + -16) + -15
(-7 * -1 + -27z * -1) + -29z = 28 + (10z + -16) + -15
(7 + 27z) + -29z = 28 + (10z + -16) + -15

Combine like terms: 27z + -29z = -2z
7 + -2z = 28 + (10z + -16) + -15

Reorder the terms:
7 + -2z = 28 + (-16 + 10z) + -15

Remove parenthesis around (-16 + 10z)
7 + -2z = 28 + -16 + 10z + -15

Reorder the terms:
7 + -2z = 28 + -16 + -15 + 10z

Combine like terms: 28 + -16 = 12
7 + -2z = 12 + -15 + 10z

Combine like terms: 12 + -15 = -3
7 + -2z = -3 + 10z

Solving
7 + -2z = -3 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
7 + -2z + -10z = -3 + 10z + -10z

Combine like terms: -2z + -10z = -12z
7 + -12z = -3 + 10z + -10z

Combine like terms: 10z + -10z = 0
7 + -12z = -3 + 0
7 + -12z = -3

Add '-7' to each side of the equation.
7 + -7 + -12z = -3 + -7

Combine like terms: 7 + -7 = 0
0 + -12z = -3 + -7
-12z = -3 + -7

Combine like terms: -3 + -7 = -10
-12z = -10

Divide each side by '-12'.
z = 0.8333333333

Simplifying
z = 0.8333333333

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