66=2(2z)+2(11)+2(12)+2(3z-1)+2(z+2)

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Solution for 66=2(2z)+2(11)+2(12)+2(3z-1)+2(z+2) equation:


Simplifying
66 = 2(2z) + 2(11) + 2(12) + 2(3z + -1) + 2(z + 2)

Remove parenthesis around (2z)
66 = 2 * 2z + 2(11) + 2(12) + 2(3z + -1) + 2(z + 2)

Multiply 2 * 2
66 = 4z + 2(11) + 2(12) + 2(3z + -1) + 2(z + 2)

Multiply 2 * 11
66 = 4z + 22 + 2(12) + 2(3z + -1) + 2(z + 2)

Multiply 2 * 12
66 = 4z + 22 + 24 + 2(3z + -1) + 2(z + 2)

Reorder the terms:
66 = 4z + 22 + 24 + 2(-1 + 3z) + 2(z + 2)
66 = 4z + 22 + 24 + (-1 * 2 + 3z * 2) + 2(z + 2)
66 = 4z + 22 + 24 + (-2 + 6z) + 2(z + 2)

Reorder the terms:
66 = 4z + 22 + 24 + -2 + 6z + 2(2 + z)
66 = 4z + 22 + 24 + -2 + 6z + (2 * 2 + z * 2)
66 = 4z + 22 + 24 + -2 + 6z + (4 + 2z)

Reorder the terms:
66 = 22 + 24 + -2 + 4 + 4z + 6z + 2z

Combine like terms: 22 + 24 = 46
66 = 46 + -2 + 4 + 4z + 6z + 2z

Combine like terms: 46 + -2 = 44
66 = 44 + 4 + 4z + 6z + 2z

Combine like terms: 44 + 4 = 48
66 = 48 + 4z + 6z + 2z

Combine like terms: 4z + 6z = 10z
66 = 48 + 10z + 2z

Combine like terms: 10z + 2z = 12z
66 = 48 + 12z

Solving
66 = 48 + 12z

Solving for variable 'z'.

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

Add '-12z' to each side of the equation.
66 + -12z = 48 + 12z + -12z

Combine like terms: 12z + -12z = 0
66 + -12z = 48 + 0
66 + -12z = 48

Add '-66' to each side of the equation.
66 + -66 + -12z = 48 + -66

Combine like terms: 66 + -66 = 0
0 + -12z = 48 + -66
-12z = 48 + -66

Combine like terms: 48 + -66 = -18
-12z = -18

Divide each side by '-12'.
z = 1.5

Simplifying
z = 1.5

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