-(15z-36)-35z+13z=-(-14z+20)+(16z-21)

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Solution for -(15z-36)-35z+13z=-(-14z+20)+(16z-21) equation: 


Simplifying
-1(15z + -36) + -35z + 13z = -1(-14z + 20) + (16z + -21)

Reorder the terms:
-1(-36 + 15z) + -35z + 13z = -1(-14z + 20) + (16z + -21)
(-36 * -1 + 15z * -1) + -35z + 13z = -1(-14z + 20) + (16z + -21)
(36 + -15z) + -35z + 13z = -1(-14z + 20) + (16z + -21)

Combine like terms: -15z + -35z = -50z
36 + -50z + 13z = -1(-14z + 20) + (16z + -21)

Combine like terms: -50z + 13z = -37z
36 + -37z = -1(-14z + 20) + (16z + -21)

Reorder the terms:
36 + -37z = -1(20 + -14z) + (16z + -21)
36 + -37z = (20 * -1 + -14z * -1) + (16z + -21)
36 + -37z = (-20 + 14z) + (16z + -21)

Reorder the terms:
36 + -37z = -20 + 14z + (-21 + 16z)

Remove parenthesis around (-21 + 16z)
36 + -37z = -20 + 14z + -21 + 16z

Reorder the terms:
36 + -37z = -20 + -21 + 14z + 16z

Combine like terms: -20 + -21 = -41
36 + -37z = -41 + 14z + 16z

Combine like terms: 14z + 16z = 30z
36 + -37z = -41 + 30z

Solving
36 + -37z = -41 + 30z

Solving for variable 'z'.

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

Add '-30z' to each side of the equation.
36 + -37z + -30z = -41 + 30z + -30z

Combine like terms: -37z + -30z = -67z
36 + -67z = -41 + 30z + -30z

Combine like terms: 30z + -30z = 0
36 + -67z = -41 + 0
36 + -67z = -41

Add '-36' to each side of the equation.
36 + -36 + -67z = -41 + -36

Combine like terms: 36 + -36 = 0
0 + -67z = -41 + -36
-67z = -41 + -36

Combine like terms: -41 + -36 = -77
-67z = -77

Divide each side by '-67'.
z = 1.149253731

Simplifying
z = 1.149253731

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