4(z+5)-(z-6)=-2

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Solution for 4(z+5)-(z-6)=-2 equation:


Simplifying
4(z + 5) + -1(z + -6) = -2

Reorder the terms:
4(5 + z) + -1(z + -6) = -2
(5 * 4 + z * 4) + -1(z + -6) = -2
(20 + 4z) + -1(z + -6) = -2

Reorder the terms:
20 + 4z + -1(-6 + z) = -2
20 + 4z + (-6 * -1 + z * -1) = -2
20 + 4z + (6 + -1z) = -2

Reorder the terms:
20 + 6 + 4z + -1z = -2

Combine like terms: 20 + 6 = 26
26 + 4z + -1z = -2

Combine like terms: 4z + -1z = 3z
26 + 3z = -2

Solving
26 + 3z = -2

Solving for variable 'z'.

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

Add '-26' to each side of the equation.
26 + -26 + 3z = -2 + -26

Combine like terms: 26 + -26 = 0
0 + 3z = -2 + -26
3z = -2 + -26

Combine like terms: -2 + -26 = -28
3z = -28

Divide each side by '3'.
z = -9.333333333

Simplifying
z = -9.333333333

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