2(2a-7b)=8(7a-10b)

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Solution for 2(2a-7b)=8(7a-10b) equation:


Simplifying
2(2a + -7b) = 8(7a + -10b)
(2a * 2 + -7b * 2) = 8(7a + -10b)
(4a + -14b) = 8(7a + -10b)
4a + -14b = (7a * 8 + -10b * 8)
4a + -14b = (56a + -80b)

Solving
4a + -14b = 56a + -80b

Solving for variable 'a'.

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

Add '-56a' to each side of the equation.
4a + -56a + -14b = 56a + -56a + -80b

Combine like terms: 4a + -56a = -52a
-52a + -14b = 56a + -56a + -80b

Combine like terms: 56a + -56a = 0
-52a + -14b = 0 + -80b
-52a + -14b = -80b

Add '14b' to each side of the equation.
-52a + -14b + 14b = -80b + 14b

Combine like terms: -14b + 14b = 0
-52a + 0 = -80b + 14b
-52a = -80b + 14b

Combine like terms: -80b + 14b = -66b
-52a = -66b

Divide each side by '-52'.
a = 1.269230769b

Simplifying
a = 1.269230769b

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