8(z+7)-6=-2z-60+10

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Solution for 8(z+7)-6=-2z-60+10 equation:


Simplifying
8(z + 7) + -6 = -2z + -60 + 10

Reorder the terms:
8(7 + z) + -6 = -2z + -60 + 10
(7 * 8 + z * 8) + -6 = -2z + -60 + 10
(56 + 8z) + -6 = -2z + -60 + 10

Reorder the terms:
56 + -6 + 8z = -2z + -60 + 10

Combine like terms: 56 + -6 = 50
50 + 8z = -2z + -60 + 10

Reorder the terms:
50 + 8z = -60 + 10 + -2z

Combine like terms: -60 + 10 = -50
50 + 8z = -50 + -2z

Solving
50 + 8z = -50 + -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.
50 + 8z + 2z = -50 + -2z + 2z

Combine like terms: 8z + 2z = 10z
50 + 10z = -50 + -2z + 2z

Combine like terms: -2z + 2z = 0
50 + 10z = -50 + 0
50 + 10z = -50

Add '-50' to each side of the equation.
50 + -50 + 10z = -50 + -50

Combine like terms: 50 + -50 = 0
0 + 10z = -50 + -50
10z = -50 + -50

Combine like terms: -50 + -50 = -100
10z = -100

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

Simplifying
z = -10

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