-(z+8)+(3z+1)=6(z+1)

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Solution for -(z+8)+(3z+1)=6(z+1) equation:


Simplifying
-1(z + 8) + (3z + 1) = 6(z + 1)

Reorder the terms:
-1(8 + z) + (3z + 1) = 6(z + 1)
(8 * -1 + z * -1) + (3z + 1) = 6(z + 1)
(-8 + -1z) + (3z + 1) = 6(z + 1)

Reorder the terms:
-8 + -1z + (1 + 3z) = 6(z + 1)

Remove parenthesis around (1 + 3z)
-8 + -1z + 1 + 3z = 6(z + 1)

Reorder the terms:
-8 + 1 + -1z + 3z = 6(z + 1)

Combine like terms: -8 + 1 = -7
-7 + -1z + 3z = 6(z + 1)

Combine like terms: -1z + 3z = 2z
-7 + 2z = 6(z + 1)

Reorder the terms:
-7 + 2z = 6(1 + z)
-7 + 2z = (1 * 6 + z * 6)
-7 + 2z = (6 + 6z)

Solving
-7 + 2z = 6 + 6z

Solving for variable 'z'.

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

Add '-6z' to each side of the equation.
-7 + 2z + -6z = 6 + 6z + -6z

Combine like terms: 2z + -6z = -4z
-7 + -4z = 6 + 6z + -6z

Combine like terms: 6z + -6z = 0
-7 + -4z = 6 + 0
-7 + -4z = 6

Add '7' to each side of the equation.
-7 + 7 + -4z = 6 + 7

Combine like terms: -7 + 7 = 0
0 + -4z = 6 + 7
-4z = 6 + 7

Combine like terms: 6 + 7 = 13
-4z = 13

Divide each side by '-4'.
z = -3.25

Simplifying
z = -3.25

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