-9(2+a)+4(2a+9)=11

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Solution for -9(2+a)+4(2a+9)=11 equation:


Simplifying
-9(2 + a) + 4(2a + 9) = 11
(2 * -9 + a * -9) + 4(2a + 9) = 11
(-18 + -9a) + 4(2a + 9) = 11

Reorder the terms:
-18 + -9a + 4(9 + 2a) = 11
-18 + -9a + (9 * 4 + 2a * 4) = 11
-18 + -9a + (36 + 8a) = 11

Reorder the terms:
-18 + 36 + -9a + 8a = 11

Combine like terms: -18 + 36 = 18
18 + -9a + 8a = 11

Combine like terms: -9a + 8a = -1a
18 + -1a = 11

Solving
18 + -1a = 11

Solving for variable 'a'.

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

Add '-18' to each side of the equation.
18 + -18 + -1a = 11 + -18

Combine like terms: 18 + -18 = 0
0 + -1a = 11 + -18
-1a = 11 + -18

Combine like terms: 11 + -18 = -7
-1a = -7

Divide each side by '-1'.
a = 7

Simplifying
a = 7

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