166=-a-3(-7a-2)

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Solution for 166=-a-3(-7a-2) equation:


Simplifying
166 = -1a + -3(-7a + -2)

Reorder the terms:
166 = -1a + -3(-2 + -7a)
166 = -1a + (-2 * -3 + -7a * -3)
166 = -1a + (6 + 21a)

Reorder the terms:
166 = 6 + -1a + 21a

Combine like terms: -1a + 21a = 20a
166 = 6 + 20a

Solving
166 = 6 + 20a

Solving for variable 'a'.

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

Add '-20a' to each side of the equation.
166 + -20a = 6 + 20a + -20a

Combine like terms: 20a + -20a = 0
166 + -20a = 6 + 0
166 + -20a = 6

Add '-166' to each side of the equation.
166 + -166 + -20a = 6 + -166

Combine like terms: 166 + -166 = 0
0 + -20a = 6 + -166
-20a = 6 + -166

Combine like terms: 6 + -166 = -160
-20a = -160

Divide each side by '-20'.
a = 8

Simplifying
a = 8

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