2+7(4a-6)=-208

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Solution for 2+7(4a-6)=-208 equation:


Simplifying
2 + 7(4a + -6) = -208

Reorder the terms:
2 + 7(-6 + 4a) = -208
2 + (-6 * 7 + 4a * 7) = -208
2 + (-42 + 28a) = -208

Combine like terms: 2 + -42 = -40
-40 + 28a = -208

Solving
-40 + 28a = -208

Solving for variable 'a'.

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

Add '40' to each side of the equation.
-40 + 40 + 28a = -208 + 40

Combine like terms: -40 + 40 = 0
0 + 28a = -208 + 40
28a = -208 + 40

Combine like terms: -208 + 40 = -168
28a = -168

Divide each side by '28'.
a = -6

Simplifying
a = -6

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