3(z+3)=2(z+8)

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Solution for 3(z+3)=2(z+8) equation:


Simplifying
3(z + 3) = 2(z + 8)

Reorder the terms:
3(3 + z) = 2(z + 8)
(3 * 3 + z * 3) = 2(z + 8)
(9 + 3z) = 2(z + 8)

Reorder the terms:
9 + 3z = 2(8 + z)
9 + 3z = (8 * 2 + z * 2)
9 + 3z = (16 + 2z)

Solving
9 + 3z = 16 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
9 + 3z + -2z = 16 + 2z + -2z

Combine like terms: 3z + -2z = 1z
9 + 1z = 16 + 2z + -2z

Combine like terms: 2z + -2z = 0
9 + 1z = 16 + 0
9 + 1z = 16

Add '-9' to each side of the equation.
9 + -9 + 1z = 16 + -9

Combine like terms: 9 + -9 = 0
0 + 1z = 16 + -9
1z = 16 + -9

Combine like terms: 16 + -9 = 7
1z = 7

Divide each side by '1'.
z = 7

Simplifying
z = 7

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