7(z+3)-2(z-3)=2+2(z-3)

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Solution for 7(z+3)-2(z-3)=2+2(z-3) equation:


Simplifying
7(z + 3) + -2(z + -3) = 2 + 2(z + -3)

Reorder the terms:
7(3 + z) + -2(z + -3) = 2 + 2(z + -3)
(3 * 7 + z * 7) + -2(z + -3) = 2 + 2(z + -3)
(21 + 7z) + -2(z + -3) = 2 + 2(z + -3)

Reorder the terms:
21 + 7z + -2(-3 + z) = 2 + 2(z + -3)
21 + 7z + (-3 * -2 + z * -2) = 2 + 2(z + -3)
21 + 7z + (6 + -2z) = 2 + 2(z + -3)

Reorder the terms:
21 + 6 + 7z + -2z = 2 + 2(z + -3)

Combine like terms: 21 + 6 = 27
27 + 7z + -2z = 2 + 2(z + -3)

Combine like terms: 7z + -2z = 5z
27 + 5z = 2 + 2(z + -3)

Reorder the terms:
27 + 5z = 2 + 2(-3 + z)
27 + 5z = 2 + (-3 * 2 + z * 2)
27 + 5z = 2 + (-6 + 2z)

Combine like terms: 2 + -6 = -4
27 + 5z = -4 + 2z

Solving
27 + 5z = -4 + 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.
27 + 5z + -2z = -4 + 2z + -2z

Combine like terms: 5z + -2z = 3z
27 + 3z = -4 + 2z + -2z

Combine like terms: 2z + -2z = 0
27 + 3z = -4 + 0
27 + 3z = -4

Add '-27' to each side of the equation.
27 + -27 + 3z = -4 + -27

Combine like terms: 27 + -27 = 0
0 + 3z = -4 + -27
3z = -4 + -27

Combine like terms: -4 + -27 = -31
3z = -31

Divide each side by '3'.
z = -10.33333333

Simplifying
z = -10.33333333

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