5[3a-4]=7[6a+3]-11

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Solution for 5[3a-4]=7[6a+3]-11 equation:


Simplifying
5[3a + -4] = 7[6a + 3] + -11

Reorder the terms:
5[-4 + 3a] = 7[6a + 3] + -11
[-4 * 5 + 3a * 5] = 7[6a + 3] + -11
[-20 + 15a] = 7[6a + 3] + -11

Reorder the terms:
-20 + 15a = 7[3 + 6a] + -11
-20 + 15a = [3 * 7 + 6a * 7] + -11
-20 + 15a = [21 + 42a] + -11

Reorder the terms:
-20 + 15a = 21 + -11 + 42a

Combine like terms: 21 + -11 = 10
-20 + 15a = 10 + 42a

Solving
-20 + 15a = 10 + 42a

Solving for variable 'a'.

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

Add '-42a' to each side of the equation.
-20 + 15a + -42a = 10 + 42a + -42a

Combine like terms: 15a + -42a = -27a
-20 + -27a = 10 + 42a + -42a

Combine like terms: 42a + -42a = 0
-20 + -27a = 10 + 0
-20 + -27a = 10

Add '20' to each side of the equation.
-20 + 20 + -27a = 10 + 20

Combine like terms: -20 + 20 = 0
0 + -27a = 10 + 20
-27a = 10 + 20

Combine like terms: 10 + 20 = 30
-27a = 30

Divide each side by '-27'.
a = -1.111111111

Simplifying
a = -1.111111111

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