208=2(6)b+2(6)(8)+2b(8)

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Solution for 208=2(6)b+2(6)(8)+2b(8) equation:


Simplifying
208 = 2(6) * b + 2(6)(8) + 2b(8)

Multiply 2 * 6
208 = 12b + 2(6)(8) + 2b(8)

Multiply 2 * 6
208 = 12b + 12 * 8 + 2b(8)

Multiply 12 * 8
208 = 12b + 96 + 2b(8)

Reorder the terms for easier multiplication:
208 = 12b + 96 + 2 * 8b

Multiply 2 * 8
208 = 12b + 96 + 16b

Reorder the terms:
208 = 96 + 12b + 16b

Combine like terms: 12b + 16b = 28b
208 = 96 + 28b

Solving
208 = 96 + 28b

Solving for variable 'b'.

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

Add '-28b' to each side of the equation.
208 + -28b = 96 + 28b + -28b

Combine like terms: 28b + -28b = 0
208 + -28b = 96 + 0
208 + -28b = 96

Add '-208' to each side of the equation.
208 + -208 + -28b = 96 + -208

Combine like terms: 208 + -208 = 0
0 + -28b = 96 + -208
-28b = 96 + -208

Combine like terms: 96 + -208 = -112
-28b = -112

Divide each side by '-28'.
b = 4

Simplifying
b = 4

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