2+(4(-7z-8))=(-4(-2z+8)-8)

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Solution for 2+(4(-7z-8))=(-4(-2z+8)-8) equation:


Simplifying
2 + (4(-7z + -8)) = (-4(-2z + 8) + -8)

Reorder the terms:
2 + (4(-8 + -7z)) = (-4(-2z + 8) + -8)
2 + ((-8 * 4 + -7z * 4)) = (-4(-2z + 8) + -8)
2 + ((-32 + -28z)) = (-4(-2z + 8) + -8)
2 + (-32 + -28z) = (-4(-2z + 8) + -8)

Remove parenthesis around (-32 + -28z)
2 + -32 + -28z = (-4(-2z + 8) + -8)

Combine like terms: 2 + -32 = -30
-30 + -28z = (-4(-2z + 8) + -8)

Reorder the terms:
-30 + -28z = (-4(8 + -2z) + -8)
-30 + -28z = ((8 * -4 + -2z * -4) + -8)
-30 + -28z = ((-32 + 8z) + -8)

Reorder the terms:
-30 + -28z = (-32 + -8 + 8z)

Combine like terms: -32 + -8 = -40
-30 + -28z = (-40 + 8z)

Remove parenthesis around (-40 + 8z)
-30 + -28z = -40 + 8z

Solving
-30 + -28z = -40 + 8z

Solving for variable 'z'.

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

Add '-8z' to each side of the equation.
-30 + -28z + -8z = -40 + 8z + -8z

Combine like terms: -28z + -8z = -36z
-30 + -36z = -40 + 8z + -8z

Combine like terms: 8z + -8z = 0
-30 + -36z = -40 + 0
-30 + -36z = -40

Add '30' to each side of the equation.
-30 + 30 + -36z = -40 + 30

Combine like terms: -30 + 30 = 0
0 + -36z = -40 + 30
-36z = -40 + 30

Combine like terms: -40 + 30 = -10
-36z = -10

Divide each side by '-36'.
z = 0.2777777778

Simplifying
z = 0.2777777778

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