-2(3-4z)+7z=12z-(z+2)

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Solution for -2(3-4z)+7z=12z-(z+2) equation:


Simplifying
-2(3 + -4z) + 7z = 12z + -1(z + 2)
(3 * -2 + -4z * -2) + 7z = 12z + -1(z + 2)
(-6 + 8z) + 7z = 12z + -1(z + 2)

Combine like terms: 8z + 7z = 15z
-6 + 15z = 12z + -1(z + 2)

Reorder the terms:
-6 + 15z = 12z + -1(2 + z)
-6 + 15z = 12z + (2 * -1 + z * -1)
-6 + 15z = 12z + (-2 + -1z)

Reorder the terms:
-6 + 15z = -2 + 12z + -1z

Combine like terms: 12z + -1z = 11z
-6 + 15z = -2 + 11z

Solving
-6 + 15z = -2 + 11z

Solving for variable 'z'.

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

Add '-11z' to each side of the equation.
-6 + 15z + -11z = -2 + 11z + -11z

Combine like terms: 15z + -11z = 4z
-6 + 4z = -2 + 11z + -11z

Combine like terms: 11z + -11z = 0
-6 + 4z = -2 + 0
-6 + 4z = -2

Add '6' to each side of the equation.
-6 + 6 + 4z = -2 + 6

Combine like terms: -6 + 6 = 0
0 + 4z = -2 + 6
4z = -2 + 6

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

Divide each side by '4'.
z = 1

Simplifying
z = 1

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