-[3z-(7z+10)]=10+(3z+5)

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Solution for -[3z-(7z+10)]=10+(3z+5) equation:


Simplifying
-1[3z + -1(7z + 10)] = 10 + (3z + 5)

Reorder the terms:
-1[3z + -1(10 + 7z)] = 10 + (3z + 5)
-1[3z + (10 * -1 + 7z * -1)] = 10 + (3z + 5)
-1[3z + (-10 + -7z)] = 10 + (3z + 5)

Reorder the terms:
-1[-10 + 3z + -7z] = 10 + (3z + 5)

Combine like terms: 3z + -7z = -4z
-1[-10 + -4z] = 10 + (3z + 5)
[-10 * -1 + -4z * -1] = 10 + (3z + 5)
[10 + 4z] = 10 + (3z + 5)

Reorder the terms:
10 + 4z = 10 + (5 + 3z)

Remove parenthesis around (5 + 3z)
10 + 4z = 10 + 5 + 3z

Combine like terms: 10 + 5 = 15
10 + 4z = 15 + 3z

Solving
10 + 4z = 15 + 3z

Solving for variable 'z'.

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

Add '-3z' to each side of the equation.
10 + 4z + -3z = 15 + 3z + -3z

Combine like terms: 4z + -3z = 1z
10 + 1z = 15 + 3z + -3z

Combine like terms: 3z + -3z = 0
10 + 1z = 15 + 0
10 + 1z = 15

Add '-10' to each side of the equation.
10 + -10 + 1z = 15 + -10

Combine like terms: 10 + -10 = 0
0 + 1z = 15 + -10
1z = 15 + -10

Combine like terms: 15 + -10 = 5
1z = 5

Divide each side by '1'.
z = 5

Simplifying
z = 5

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