z-(-7z)-(-4z)+(-9z)+7=-11

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Solution for z-(-7z)-(-4z)+(-9z)+7=-11 equation: 


Simplifying
z + -1(-7z) + -1(-4z) + (-9z) + 7 = -11

Remove parenthesis around (-7z)
z + -1 * -7z + -1(-4z) + (-9z) + 7 = -11

Multiply -1 * -7
z + 7z + -1(-4z) + (-9z) + 7 = -11

Remove parenthesis around (-4z)
z + 7z + -1 * -4z + (-9z) + 7 = -11

Multiply -1 * -4
z + 7z + 4z + (-9z) + 7 = -11

Reorder the terms:
7 + z + 7z + 4z + (-9z) = -11

Combine like terms: z + 7z = 8z
7 + 8z + 4z + (-9z) = -11

Combine like terms: 8z + 4z = 12z
7 + 12z + (-9z) = -11

Combine like terms: 12z + (-9z) = 3z
7 + 3z = -11

Solving
7 + 3z = -11

Solving for variable 'z'.

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

Add '-7' to each side of the equation.
7 + -7 + 3z = -11 + -7

Combine like terms: 7 + -7 = 0
0 + 3z = -11 + -7
3z = -11 + -7

Combine like terms: -11 + -7 = -18
3z = -18

Divide each side by '3'.
z = -6

Simplifying
z = -6

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