4(2a+5b+3)-3(6b-a-1)=11a+2b+15

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Solution for 4(2a+5b+3)-3(6b-a-1)=11a+2b+15 equation: 


Simplifying
4(2a + 5b + 3) + -3(6b + -1a + -1) = 11a + 2b + 15

Reorder the terms:
4(3 + 2a + 5b) + -3(6b + -1a + -1) = 11a + 2b + 15
(3 * 4 + 2a * 4 + 5b * 4) + -3(6b + -1a + -1) = 11a + 2b + 15
(12 + 8a + 20b) + -3(6b + -1a + -1) = 11a + 2b + 15

Reorder the terms:
12 + 8a + 20b + -3(-1 + -1a + 6b) = 11a + 2b + 15
12 + 8a + 20b + (-1 * -3 + -1a * -3 + 6b * -3) = 11a + 2b + 15
12 + 8a + 20b + (3 + 3a + -18b) = 11a + 2b + 15

Reorder the terms:
12 + 3 + 8a + 3a + 20b + -18b = 11a + 2b + 15

Combine like terms: 12 + 3 = 15
15 + 8a + 3a + 20b + -18b = 11a + 2b + 15

Combine like terms: 8a + 3a = 11a
15 + 11a + 20b + -18b = 11a + 2b + 15

Combine like terms: 20b + -18b = 2b
15 + 11a + 2b = 11a + 2b + 15

Reorder the terms:
15 + 11a + 2b = 15 + 11a + 2b

Add '-15' to each side of the equation.
15 + 11a + -15 + 2b = 15 + 11a + -15 + 2b

Reorder the terms:
15 + -15 + 11a + 2b = 15 + 11a + -15 + 2b

Combine like terms: 15 + -15 = 0
0 + 11a + 2b = 15 + 11a + -15 + 2b
11a + 2b = 15 + 11a + -15 + 2b

Reorder the terms:
11a + 2b = 15 + -15 + 11a + 2b

Combine like terms: 15 + -15 = 0
11a + 2b = 0 + 11a + 2b
11a + 2b = 11a + 2b

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

Combine like terms: 11a + -11a = 0
0 + 2b = 11a + -11a + 2b
2b = 11a + -11a + 2b

Combine like terms: 11a + -11a = 0
2b = 0 + 2b
2b = 2b

Add '-2b' to each side of the equation.
2b + -2b = 2b + -2b

Combine like terms: 2b + -2b = 0
0 = 2b + -2b

Combine like terms: 2b + -2b = 0
0 = 0

Solving
0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

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