6(z+3)-15=8z-5+2z

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Solution for 6(z+3)-15=8z-5+2z equation:


Simplifying
6(z + 3) + -15 = 8z + -5 + 2z

Reorder the terms:
6(3 + z) + -15 = 8z + -5 + 2z
(3 * 6 + z * 6) + -15 = 8z + -5 + 2z
(18 + 6z) + -15 = 8z + -5 + 2z

Reorder the terms:
18 + -15 + 6z = 8z + -5 + 2z

Combine like terms: 18 + -15 = 3
3 + 6z = 8z + -5 + 2z

Reorder the terms:
3 + 6z = -5 + 8z + 2z

Combine like terms: 8z + 2z = 10z
3 + 6z = -5 + 10z

Solving
3 + 6z = -5 + 10z

Solving for variable 'z'.

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

Add '-10z' to each side of the equation.
3 + 6z + -10z = -5 + 10z + -10z

Combine like terms: 6z + -10z = -4z
3 + -4z = -5 + 10z + -10z

Combine like terms: 10z + -10z = 0
3 + -4z = -5 + 0
3 + -4z = -5

Add '-3' to each side of the equation.
3 + -3 + -4z = -5 + -3

Combine like terms: 3 + -3 = 0
0 + -4z = -5 + -3
-4z = -5 + -3

Combine like terms: -5 + -3 = -8
-4z = -8

Divide each side by '-4'.
z = 2

Simplifying
z = 2

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