-8(6z+5)-2=-24-7(2z+5)

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Solution for -8(6z+5)-2=-24-7(2z+5) equation:


Simplifying
-8(6z + 5) + -2 = -24 + -7(2z + 5)

Reorder the terms:
-8(5 + 6z) + -2 = -24 + -7(2z + 5)
(5 * -8 + 6z * -8) + -2 = -24 + -7(2z + 5)
(-40 + -48z) + -2 = -24 + -7(2z + 5)

Reorder the terms:
-40 + -2 + -48z = -24 + -7(2z + 5)

Combine like terms: -40 + -2 = -42
-42 + -48z = -24 + -7(2z + 5)

Reorder the terms:
-42 + -48z = -24 + -7(5 + 2z)
-42 + -48z = -24 + (5 * -7 + 2z * -7)
-42 + -48z = -24 + (-35 + -14z)

Combine like terms: -24 + -35 = -59
-42 + -48z = -59 + -14z

Solving
-42 + -48z = -59 + -14z

Solving for variable 'z'.

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

Add '14z' to each side of the equation.
-42 + -48z + 14z = -59 + -14z + 14z

Combine like terms: -48z + 14z = -34z
-42 + -34z = -59 + -14z + 14z

Combine like terms: -14z + 14z = 0
-42 + -34z = -59 + 0
-42 + -34z = -59

Add '42' to each side of the equation.
-42 + 42 + -34z = -59 + 42

Combine like terms: -42 + 42 = 0
0 + -34z = -59 + 42
-34z = -59 + 42

Combine like terms: -59 + 42 = -17
-34z = -17

Divide each side by '-34'.
z = 0.5

Simplifying
z = 0.5

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