4z+10-2z=7+z-3

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Solution for 4z+10-2z=7+z-3 equation:


Simplifying
4z + 10 + -2z = 7 + z + -3

Reorder the terms:
10 + 4z + -2z = 7 + z + -3

Combine like terms: 4z + -2z = 2z
10 + 2z = 7 + z + -3

Reorder the terms:
10 + 2z = 7 + -3 + z

Combine like terms: 7 + -3 = 4
10 + 2z = 4 + z

Solving
10 + 2z = 4 + 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.
10 + 2z + -1z = 4 + z + -1z

Combine like terms: 2z + -1z = 1z
10 + 1z = 4 + z + -1z

Combine like terms: z + -1z = 0
10 + 1z = 4 + 0
10 + 1z = 4

Add '-10' to each side of the equation.
10 + -10 + 1z = 4 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = 4 + -10
1z = 4 + -10

Combine like terms: 4 + -10 = -6
1z = -6

Divide each side by '1'.
z = -6

Simplifying
z = -6

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