2(z+4)+5=7z-6

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Solution for 2(z+4)+5=7z-6 equation:


Simplifying
2(z + 4) + 5 = 7z + -6

Reorder the terms:
2(4 + z) + 5 = 7z + -6
(4 * 2 + z * 2) + 5 = 7z + -6
(8 + 2z) + 5 = 7z + -6

Reorder the terms:
8 + 5 + 2z = 7z + -6

Combine like terms: 8 + 5 = 13
13 + 2z = 7z + -6

Reorder the terms:
13 + 2z = -6 + 7z

Solving
13 + 2z = -6 + 7z

Solving for variable 'z'.

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

Add '-7z' to each side of the equation.
13 + 2z + -7z = -6 + 7z + -7z

Combine like terms: 2z + -7z = -5z
13 + -5z = -6 + 7z + -7z

Combine like terms: 7z + -7z = 0
13 + -5z = -6 + 0
13 + -5z = -6

Add '-13' to each side of the equation.
13 + -13 + -5z = -6 + -13

Combine like terms: 13 + -13 = 0
0 + -5z = -6 + -13
-5z = -6 + -13

Combine like terms: -6 + -13 = -19
-5z = -19

Divide each side by '-5'.
z = 3.8

Simplifying
z = 3.8

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