8(z+70)-6=z+60-10

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Solution for 8(z+70)-6=z+60-10 equation:


Simplifying
8(z + 70) + -6 = z + 60 + -10

Reorder the terms:
8(70 + z) + -6 = z + 60 + -10
(70 * 8 + z * 8) + -6 = z + 60 + -10
(560 + 8z) + -6 = z + 60 + -10

Reorder the terms:
560 + -6 + 8z = z + 60 + -10

Combine like terms: 560 + -6 = 554
554 + 8z = z + 60 + -10

Reorder the terms:
554 + 8z = 60 + -10 + z

Combine like terms: 60 + -10 = 50
554 + 8z = 50 + z

Solving
554 + 8z = 50 + z

Solving for variable 'z'.

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

Add '-1z' to each side of the equation.
554 + 8z + -1z = 50 + z + -1z

Combine like terms: 8z + -1z = 7z
554 + 7z = 50 + z + -1z

Combine like terms: z + -1z = 0
554 + 7z = 50 + 0
554 + 7z = 50

Add '-554' to each side of the equation.
554 + -554 + 7z = 50 + -554

Combine like terms: 554 + -554 = 0
0 + 7z = 50 + -554
7z = 50 + -554

Combine like terms: 50 + -554 = -504
7z = -504

Divide each side by '7'.
z = -72

Simplifying
z = -72

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