2(7a+4b)=6(10a+9b)

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Solution for 2(7a+4b)=6(10a+9b) equation:


Simplifying
2(7a + 4b) = 6(10a + 9b)
(7a * 2 + 4b * 2) = 6(10a + 9b)
(14a + 8b) = 6(10a + 9b)
14a + 8b = (10a * 6 + 9b * 6)
14a + 8b = (60a + 54b)

Solving
14a + 8b = 60a + 54b

Solving for variable 'a'.

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

Add '-60a' to each side of the equation.
14a + -60a + 8b = 60a + -60a + 54b

Combine like terms: 14a + -60a = -46a
-46a + 8b = 60a + -60a + 54b

Combine like terms: 60a + -60a = 0
-46a + 8b = 0 + 54b
-46a + 8b = 54b

Add '-8b' to each side of the equation.
-46a + 8b + -8b = 54b + -8b

Combine like terms: 8b + -8b = 0
-46a + 0 = 54b + -8b
-46a = 54b + -8b

Combine like terms: 54b + -8b = 46b
-46a = 46b

Divide each side by '-46'.
a = -1b

Simplifying
a = -1b

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