8(z+3)=4(z+1)-16

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Solution for 8(z+3)=4(z+1)-16 equation:


Simplifying
8(z + 3) = 4(z + 1) + -16

Reorder the terms:
8(3 + z) = 4(z + 1) + -16
(3 * 8 + z * 8) = 4(z + 1) + -16
(24 + 8z) = 4(z + 1) + -16

Reorder the terms:
24 + 8z = 4(1 + z) + -16
24 + 8z = (1 * 4 + z * 4) + -16
24 + 8z = (4 + 4z) + -16

Reorder the terms:
24 + 8z = 4 + -16 + 4z

Combine like terms: 4 + -16 = -12
24 + 8z = -12 + 4z

Solving
24 + 8z = -12 + 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.
24 + 8z + -4z = -12 + 4z + -4z

Combine like terms: 8z + -4z = 4z
24 + 4z = -12 + 4z + -4z

Combine like terms: 4z + -4z = 0
24 + 4z = -12 + 0
24 + 4z = -12

Add '-24' to each side of the equation.
24 + -24 + 4z = -12 + -24

Combine like terms: 24 + -24 = 0
0 + 4z = -12 + -24
4z = -12 + -24

Combine like terms: -12 + -24 = -36
4z = -36

Divide each side by '4'.
z = -9

Simplifying
z = -9

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