(a+2)=11(a-3)

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Solution for (a+2)=11(a-3) equation:


Simplifying
(a + 2) = 11(a + -3)

Reorder the terms:
(2 + a) = 11(a + -3)

Remove parenthesis around (2 + a)
2 + a = 11(a + -3)

Reorder the terms:
2 + a = 11(-3 + a)
2 + a = (-3 * 11 + a * 11)
2 + a = (-33 + 11a)

Solving
2 + a = -33 + 11a

Solving for variable 'a'.

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

Add '-11a' to each side of the equation.
2 + a + -11a = -33 + 11a + -11a

Combine like terms: a + -11a = -10a
2 + -10a = -33 + 11a + -11a

Combine like terms: 11a + -11a = 0
2 + -10a = -33 + 0
2 + -10a = -33

Add '-2' to each side of the equation.
2 + -2 + -10a = -33 + -2

Combine like terms: 2 + -2 = 0
0 + -10a = -33 + -2
-10a = -33 + -2

Combine like terms: -33 + -2 = -35
-10a = -35

Divide each side by '-10'.
a = 3.5

Simplifying
a = 3.5

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