2(2a+2b)=10a-16b

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Solution for 2(2a+2b)=10a-16b equation:


Simplifying
2(2a + 2b) = 10a + -16b
(2a * 2 + 2b * 2) = 10a + -16b
(4a + 4b) = 10a + -16b

Solving
4a + 4b = 10a + -16b

Solving for variable 'a'.

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

Add '-10a' to each side of the equation.
4a + -10a + 4b = 10a + -10a + -16b

Combine like terms: 4a + -10a = -6a
-6a + 4b = 10a + -10a + -16b

Combine like terms: 10a + -10a = 0
-6a + 4b = 0 + -16b
-6a + 4b = -16b

Add '-4b' to each side of the equation.
-6a + 4b + -4b = -16b + -4b

Combine like terms: 4b + -4b = 0
-6a + 0 = -16b + -4b
-6a = -16b + -4b

Combine like terms: -16b + -4b = -20b
-6a = -20b

Divide each side by '-6'.
a = 3.333333333b

Simplifying
a = 3.333333333b

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