7+(5z-3)=1-(4z+3)

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Solution for 7+(5z-3)=1-(4z+3) equation:


Simplifying
7 + (5z + -3) = 1 + -1(4z + 3)

Reorder the terms:
7 + (-3 + 5z) = 1 + -1(4z + 3)

Remove parenthesis around (-3 + 5z)
7 + -3 + 5z = 1 + -1(4z + 3)

Combine like terms: 7 + -3 = 4
4 + 5z = 1 + -1(4z + 3)

Reorder the terms:
4 + 5z = 1 + -1(3 + 4z)
4 + 5z = 1 + (3 * -1 + 4z * -1)
4 + 5z = 1 + (-3 + -4z)

Combine like terms: 1 + -3 = -2
4 + 5z = -2 + -4z

Solving
4 + 5z = -2 + -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.
4 + 5z + 4z = -2 + -4z + 4z

Combine like terms: 5z + 4z = 9z
4 + 9z = -2 + -4z + 4z

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

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

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

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

Divide each side by '9'.
z = -0.6666666667

Simplifying
z = -0.6666666667

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