-(z+8)+(4z+1)=-4(z+1)

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Solution for -(z+8)+(4z+1)=-4(z+1) equation:


Simplifying
-1(z + 8) + (4z + 1) = -4(z + 1)

Reorder the terms:
-1(8 + z) + (4z + 1) = -4(z + 1)
(8 * -1 + z * -1) + (4z + 1) = -4(z + 1)
(-8 + -1z) + (4z + 1) = -4(z + 1)

Reorder the terms:
-8 + -1z + (1 + 4z) = -4(z + 1)

Remove parenthesis around (1 + 4z)
-8 + -1z + 1 + 4z = -4(z + 1)

Reorder the terms:
-8 + 1 + -1z + 4z = -4(z + 1)

Combine like terms: -8 + 1 = -7
-7 + -1z + 4z = -4(z + 1)

Combine like terms: -1z + 4z = 3z
-7 + 3z = -4(z + 1)

Reorder the terms:
-7 + 3z = -4(1 + z)
-7 + 3z = (1 * -4 + z * -4)
-7 + 3z = (-4 + -4z)

Solving
-7 + 3z = -4 + -4z

Solving for variable 'z'.

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

Add '4z' to each side of the equation.
-7 + 3z + 4z = -4 + -4z + 4z

Combine like terms: 3z + 4z = 7z
-7 + 7z = -4 + -4z + 4z

Combine like terms: -4z + 4z = 0
-7 + 7z = -4 + 0
-7 + 7z = -4

Add '7' to each side of the equation.
-7 + 7 + 7z = -4 + 7

Combine like terms: -7 + 7 = 0
0 + 7z = -4 + 7
7z = -4 + 7

Combine like terms: -4 + 7 = 3
7z = 3

Divide each side by '7'.
z = 0.4285714286

Simplifying
z = 0.4285714286

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