4z+7=z-2

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Solution for 4z+7=z-2 equation:


Simplifying
4z + 7 = z + -2

Reorder the terms:
7 + 4z = z + -2

Reorder the terms:
7 + 4z = -2 + z

Solving
7 + 4z = -2 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
7 + 4z + -1z = -2 + z + -1z

Combine like terms: 4z + -1z = 3z
7 + 3z = -2 + z + -1z

Combine like terms: z + -1z = 0
7 + 3z = -2 + 0
7 + 3z = -2

Add '-7' to each side of the equation.
7 + -7 + 3z = -2 + -7

Combine like terms: 7 + -7 = 0
0 + 3z = -2 + -7
3z = -2 + -7

Combine like terms: -2 + -7 = -9
3z = -9

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

Simplifying
z = -3

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