-5-5(8z+6)=7(-z+1)+5

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Solution for -5-5(8z+6)=7(-z+1)+5 equation:


Simplifying
-5 + -5(8z + 6) = 7(-1z + 1) + 5

Reorder the terms:
-5 + -5(6 + 8z) = 7(-1z + 1) + 5
-5 + (6 * -5 + 8z * -5) = 7(-1z + 1) + 5
-5 + (-30 + -40z) = 7(-1z + 1) + 5

Combine like terms: -5 + -30 = -35
-35 + -40z = 7(-1z + 1) + 5

Reorder the terms:
-35 + -40z = 7(1 + -1z) + 5
-35 + -40z = (1 * 7 + -1z * 7) + 5
-35 + -40z = (7 + -7z) + 5

Reorder the terms:
-35 + -40z = 7 + 5 + -7z

Combine like terms: 7 + 5 = 12
-35 + -40z = 12 + -7z

Solving
-35 + -40z = 12 + -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.
-35 + -40z + 7z = 12 + -7z + 7z

Combine like terms: -40z + 7z = -33z
-35 + -33z = 12 + -7z + 7z

Combine like terms: -7z + 7z = 0
-35 + -33z = 12 + 0
-35 + -33z = 12

Add '35' to each side of the equation.
-35 + 35 + -33z = 12 + 35

Combine like terms: -35 + 35 = 0
0 + -33z = 12 + 35
-33z = 12 + 35

Combine like terms: 12 + 35 = 47
-33z = 47

Divide each side by '-33'.
z = -1.424242424

Simplifying
z = -1.424242424

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