2z+9=4z-3

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Solution for 2z+9=4z-3 equation:


Simplifying
2z + 9 = 4z + -3

Reorder the terms:
9 + 2z = 4z + -3

Reorder the terms:
9 + 2z = -3 + 4z

Solving
9 + 2z = -3 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
9 + 2z + -4z = -3 + 4z + -4z

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

Combine like terms: 4z + -4z = 0
9 + -2z = -3 + 0
9 + -2z = -3

Add '-9' to each side of the equation.
9 + -9 + -2z = -3 + -9

Combine like terms: 9 + -9 = 0
0 + -2z = -3 + -9
-2z = -3 + -9

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

Divide each side by '-2'.
z = 6

Simplifying
z = 6

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