-5+6=5z-4(z+9)

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Solution for -5+6=5z-4(z+9) equation:


Simplifying
-5 + 6 = 5z + -4(z + 9)

Combine like terms: -5 + 6 = 1
1 = 5z + -4(z + 9)

Reorder the terms:
1 = 5z + -4(9 + z)
1 = 5z + (9 * -4 + z * -4)
1 = 5z + (-36 + -4z)

Reorder the terms:
1 = -36 + 5z + -4z

Combine like terms: 5z + -4z = 1z
1 = -36 + 1z

Solving
1 = -36 + 1z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
1 + -1z = -36 + 1z + -1z

Combine like terms: 1z + -1z = 0
1 + -1z = -36 + 0
1 + -1z = -36

Add '-1' to each side of the equation.
1 + -1 + -1z = -36 + -1

Combine like terms: 1 + -1 = 0
0 + -1z = -36 + -1
-1z = -36 + -1

Combine like terms: -36 + -1 = -37
-1z = -37

Divide each side by '-1'.
z = 37

Simplifying
z = 37

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