3(2a-5)+4(a-6)=-11

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Solution for 3(2a-5)+4(a-6)=-11 equation:


Simplifying
3(2a + -5) + 4(a + -6) = -11

Reorder the terms:
3(-5 + 2a) + 4(a + -6) = -11
(-5 * 3 + 2a * 3) + 4(a + -6) = -11
(-15 + 6a) + 4(a + -6) = -11

Reorder the terms:
-15 + 6a + 4(-6 + a) = -11
-15 + 6a + (-6 * 4 + a * 4) = -11
-15 + 6a + (-24 + 4a) = -11

Reorder the terms:
-15 + -24 + 6a + 4a = -11

Combine like terms: -15 + -24 = -39
-39 + 6a + 4a = -11

Combine like terms: 6a + 4a = 10a
-39 + 10a = -11

Solving
-39 + 10a = -11

Solving for variable 'a'.

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

Add '39' to each side of the equation.
-39 + 39 + 10a = -11 + 39

Combine like terms: -39 + 39 = 0
0 + 10a = -11 + 39
10a = -11 + 39

Combine like terms: -11 + 39 = 28
10a = 28

Divide each side by '10'.
a = 2.8

Simplifying
a = 2.8

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