(a+b)=5(a+b)

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Solution for (a+b)=5(a+b) equation:


Simplifying
(a + b) = 5(a + b)

Remove parenthesis around (a + b)
a + b = 5(a + b)
a + b = (a * 5 + b * 5)
a + b = (5a + 5b)

Solving
a + b = 5a + 5b

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
a + -5a + b = 5a + -5a + 5b

Combine like terms: a + -5a = -4a
-4a + b = 5a + -5a + 5b

Combine like terms: 5a + -5a = 0
-4a + b = 0 + 5b
-4a + b = 5b

Add '-1b' to each side of the equation.
-4a + b + -1b = 5b + -1b

Combine like terms: b + -1b = 0
-4a + 0 = 5b + -1b
-4a = 5b + -1b

Combine like terms: 5b + -1b = 4b
-4a = 4b

Divide each side by '-4'.
a = -1b

Simplifying
a = -1b

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