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

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


Simplifying
5(z + 3) + -1(2z + -6) = 2z

Reorder the terms:
5(3 + z) + -1(2z + -6) = 2z
(3 * 5 + z * 5) + -1(2z + -6) = 2z
(15 + 5z) + -1(2z + -6) = 2z

Reorder the terms:
15 + 5z + -1(-6 + 2z) = 2z
15 + 5z + (-6 * -1 + 2z * -1) = 2z
15 + 5z + (6 + -2z) = 2z

Reorder the terms:
15 + 6 + 5z + -2z = 2z

Combine like terms: 15 + 6 = 21
21 + 5z + -2z = 2z

Combine like terms: 5z + -2z = 3z
21 + 3z = 2z

Solving
21 + 3z = 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.
21 + 3z + -2z = 2z + -2z

Combine like terms: 3z + -2z = 1z
21 + 1z = 2z + -2z

Combine like terms: 2z + -2z = 0
21 + 1z = 0

Add '-21' to each side of the equation.
21 + -21 + 1z = 0 + -21

Combine like terms: 21 + -21 = 0
0 + 1z = 0 + -21
1z = 0 + -21

Combine like terms: 0 + -21 = -21
1z = -21

Divide each side by '1'.
z = -21

Simplifying
z = -21

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