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

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


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

Reorder the terms:
9(6 + z) = 4(z + -4)
(6 * 9 + z * 9) = 4(z + -4)
(54 + 9z) = 4(z + -4)

Reorder the terms:
54 + 9z = 4(-4 + z)
54 + 9z = (-4 * 4 + z * 4)
54 + 9z = (-16 + 4z)

Solving
54 + 9z = -16 + 4z

Solving for variable 'z'.

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

Add '-4z' to each side of the equation.
54 + 9z + -4z = -16 + 4z + -4z

Combine like terms: 9z + -4z = 5z
54 + 5z = -16 + 4z + -4z

Combine like terms: 4z + -4z = 0
54 + 5z = -16 + 0
54 + 5z = -16

Add '-54' to each side of the equation.
54 + -54 + 5z = -16 + -54

Combine like terms: 54 + -54 = 0
0 + 5z = -16 + -54
5z = -16 + -54

Combine like terms: -16 + -54 = -70
5z = -70

Divide each side by '5'.
z = -14

Simplifying
z = -14

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