9z+5(8+z)-6(2z-7)=40

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Solution for 9z+5(8+z)-6(2z-7)=40 equation:


Simplifying
9z + 5(8 + z) + -6(2z + -7) = 40
9z + (8 * 5 + z * 5) + -6(2z + -7) = 40
9z + (40 + 5z) + -6(2z + -7) = 40

Reorder the terms:
9z + 40 + 5z + -6(-7 + 2z) = 40
9z + 40 + 5z + (-7 * -6 + 2z * -6) = 40
9z + 40 + 5z + (42 + -12z) = 40

Reorder the terms:
40 + 42 + 9z + 5z + -12z = 40

Combine like terms: 40 + 42 = 82
82 + 9z + 5z + -12z = 40

Combine like terms: 9z + 5z = 14z
82 + 14z + -12z = 40

Combine like terms: 14z + -12z = 2z
82 + 2z = 40

Solving
82 + 2z = 40

Solving for variable 'z'.

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

Add '-82' to each side of the equation.
82 + -82 + 2z = 40 + -82

Combine like terms: 82 + -82 = 0
0 + 2z = 40 + -82
2z = 40 + -82

Combine like terms: 40 + -82 = -42
2z = -42

Divide each side by '2'.
z = -21

Simplifying
z = -21

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