z+6z-2.1=-6.6(z+6.5)

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Solution for z+6z-2.1=-6.6(z+6.5) equation:


Simplifying
z + 6z + -2.1 = -6.6(z + 6.5)

Reorder the terms:
-2.1 + z + 6z = -6.6(z + 6.5)

Combine like terms: z + 6z = 7z
-2.1 + 7z = -6.6(z + 6.5)

Reorder the terms:
-2.1 + 7z = -6.6(6.5 + z)
-2.1 + 7z = (6.5 * -6.6 + z * -6.6)
-2.1 + 7z = (-42.9 + -6.6z)

Solving
-2.1 + 7z = -42.9 + -6.6z

Solving for variable 'z'.

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

Add '6.6z' to each side of the equation.
-2.1 + 7z + 6.6z = -42.9 + -6.6z + 6.6z

Combine like terms: 7z + 6.6z = 13.6z
-2.1 + 13.6z = -42.9 + -6.6z + 6.6z

Combine like terms: -6.6z + 6.6z = 0.0
-2.1 + 13.6z = -42.9 + 0.0
-2.1 + 13.6z = -42.9

Add '2.1' to each side of the equation.
-2.1 + 2.1 + 13.6z = -42.9 + 2.1

Combine like terms: -2.1 + 2.1 = 0.0
0.0 + 13.6z = -42.9 + 2.1
13.6z = -42.9 + 2.1

Combine like terms: -42.9 + 2.1 = -40.8
13.6z = -40.8

Divide each side by '13.6'.
z = -3

Simplifying
z = -3

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