2(2a+7b)=8(4a+9b)

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Solution for 2(2a+7b)=8(4a+9b) equation:


Simplifying
2(2a + 7b) = 8(4a + 9b)
(2a * 2 + 7b * 2) = 8(4a + 9b)
(4a + 14b) = 8(4a + 9b)
4a + 14b = (4a * 8 + 9b * 8)
4a + 14b = (32a + 72b)

Solving
4a + 14b = 32a + 72b

Solving for variable 'a'.

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

Add '-32a' to each side of the equation.
4a + -32a + 14b = 32a + -32a + 72b

Combine like terms: 4a + -32a = -28a
-28a + 14b = 32a + -32a + 72b

Combine like terms: 32a + -32a = 0
-28a + 14b = 0 + 72b
-28a + 14b = 72b

Add '-14b' to each side of the equation.
-28a + 14b + -14b = 72b + -14b

Combine like terms: 14b + -14b = 0
-28a + 0 = 72b + -14b
-28a = 72b + -14b

Combine like terms: 72b + -14b = 58b
-28a = 58b

Divide each side by '-28'.
a = -2.071428571b

Simplifying
a = -2.071428571b

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