2(7a+5b)=8(9a+6b)

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Solution for 2(7a+5b)=8(9a+6b) equation:


Simplifying
2(7a + 5b) = 8(9a + 6b)
(7a * 2 + 5b * 2) = 8(9a + 6b)
(14a + 10b) = 8(9a + 6b)
14a + 10b = (9a * 8 + 6b * 8)
14a + 10b = (72a + 48b)

Solving
14a + 10b = 72a + 48b

Solving for variable 'a'.

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

Add '-72a' to each side of the equation.
14a + -72a + 10b = 72a + -72a + 48b

Combine like terms: 14a + -72a = -58a
-58a + 10b = 72a + -72a + 48b

Combine like terms: 72a + -72a = 0
-58a + 10b = 0 + 48b
-58a + 10b = 48b

Add '-10b' to each side of the equation.
-58a + 10b + -10b = 48b + -10b

Combine like terms: 10b + -10b = 0
-58a + 0 = 48b + -10b
-58a = 48b + -10b

Combine like terms: 48b + -10b = 38b
-58a = 38b

Divide each side by '-58'.
a = -0.6551724138b

Simplifying
a = -0.6551724138b

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