5[z-(7z+66)+6]=2(z+10)

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Solution for 5[z-(7z+66)+6]=2(z+10) equation:


Simplifying
5[z + -1(7z + 66) + 6] = 2(z + 10)

Reorder the terms:
5[z + -1(66 + 7z) + 6] = 2(z + 10)
5[z + (66 * -1 + 7z * -1) + 6] = 2(z + 10)
5[z + (-66 + -7z) + 6] = 2(z + 10)

Reorder the terms:
5[-66 + 6 + z + -7z] = 2(z + 10)

Combine like terms: -66 + 6 = -60
5[-60 + z + -7z] = 2(z + 10)

Combine like terms: z + -7z = -6z
5[-60 + -6z] = 2(z + 10)
[-60 * 5 + -6z * 5] = 2(z + 10)
[-300 + -30z] = 2(z + 10)

Reorder the terms:
-300 + -30z = 2(10 + z)
-300 + -30z = (10 * 2 + z * 2)
-300 + -30z = (20 + 2z)

Solving
-300 + -30z = 20 + 2z

Solving for variable 'z'.

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

Add '-2z' to each side of the equation.
-300 + -30z + -2z = 20 + 2z + -2z

Combine like terms: -30z + -2z = -32z
-300 + -32z = 20 + 2z + -2z

Combine like terms: 2z + -2z = 0
-300 + -32z = 20 + 0
-300 + -32z = 20

Add '300' to each side of the equation.
-300 + 300 + -32z = 20 + 300

Combine like terms: -300 + 300 = 0
0 + -32z = 20 + 300
-32z = 20 + 300

Combine like terms: 20 + 300 = 320
-32z = 320

Divide each side by '-32'.
z = -10

Simplifying
z = -10

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