9-(z-3)+4z=1+2z-6

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Solution for 9-(z-3)+4z=1+2z-6 equation:


Simplifying
9 + -1(z + -3) + 4z = 1 + 2z + -6

Reorder the terms:
9 + -1(-3 + z) + 4z = 1 + 2z + -6
9 + (-3 * -1 + z * -1) + 4z = 1 + 2z + -6
9 + (3 + -1z) + 4z = 1 + 2z + -6

Combine like terms: 9 + 3 = 12
12 + -1z + 4z = 1 + 2z + -6

Combine like terms: -1z + 4z = 3z
12 + 3z = 1 + 2z + -6

Reorder the terms:
12 + 3z = 1 + -6 + 2z

Combine like terms: 1 + -6 = -5
12 + 3z = -5 + 2z

Solving
12 + 3z = -5 + 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.
12 + 3z + -2z = -5 + 2z + -2z

Combine like terms: 3z + -2z = 1z
12 + 1z = -5 + 2z + -2z

Combine like terms: 2z + -2z = 0
12 + 1z = -5 + 0
12 + 1z = -5

Add '-12' to each side of the equation.
12 + -12 + 1z = -5 + -12

Combine like terms: 12 + -12 = 0
0 + 1z = -5 + -12
1z = -5 + -12

Combine like terms: -5 + -12 = -17
1z = -17

Divide each side by '1'.
z = -17

Simplifying
z = -17

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