5(z+3)=6+2z

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Solution for 5(z+3)=6+2z equation:


Simplifying
5(z + 3) = 6 + 2z

Reorder the terms:
5(3 + z) = 6 + 2z
(3 * 5 + z * 5) = 6 + 2z
(15 + 5z) = 6 + 2z

Solving
15 + 5z = 6 + 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.
15 + 5z + -2z = 6 + 2z + -2z

Combine like terms: 5z + -2z = 3z
15 + 3z = 6 + 2z + -2z

Combine like terms: 2z + -2z = 0
15 + 3z = 6 + 0
15 + 3z = 6

Add '-15' to each side of the equation.
15 + -15 + 3z = 6 + -15

Combine like terms: 15 + -15 = 0
0 + 3z = 6 + -15
3z = 6 + -15

Combine like terms: 6 + -15 = -9
3z = -9

Divide each side by '3'.
z = -3

Simplifying
z = -3

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