150=8(5a-7)+6

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Solution for 150=8(5a-7)+6 equation:


Simplifying
150 = 8(5a + -7) + 6

Reorder the terms:
150 = 8(-7 + 5a) + 6
150 = (-7 * 8 + 5a * 8) + 6
150 = (-56 + 40a) + 6

Reorder the terms:
150 = -56 + 6 + 40a

Combine like terms: -56 + 6 = -50
150 = -50 + 40a

Solving
150 = -50 + 40a

Solving for variable 'a'.

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

Add '-40a' to each side of the equation.
150 + -40a = -50 + 40a + -40a

Combine like terms: 40a + -40a = 0
150 + -40a = -50 + 0
150 + -40a = -50

Add '-150' to each side of the equation.
150 + -150 + -40a = -50 + -150

Combine like terms: 150 + -150 = 0
0 + -40a = -50 + -150
-40a = -50 + -150

Combine like terms: -50 + -150 = -200
-40a = -200

Divide each side by '-40'.
a = 5

Simplifying
a = 5

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