2a+4(3-2a)+5(3a+1)=3(3a-7)-5

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Solution for 2a+4(3-2a)+5(3a+1)=3(3a-7)-5 equation:


Simplifying
2a + 4(3 + -2a) + 5(3a + 1) = 3(3a + -7) + -5
2a + (3 * 4 + -2a * 4) + 5(3a + 1) = 3(3a + -7) + -5
2a + (12 + -8a) + 5(3a + 1) = 3(3a + -7) + -5

Reorder the terms:
2a + 12 + -8a + 5(1 + 3a) = 3(3a + -7) + -5
2a + 12 + -8a + (1 * 5 + 3a * 5) = 3(3a + -7) + -5
2a + 12 + -8a + (5 + 15a) = 3(3a + -7) + -5

Reorder the terms:
12 + 5 + 2a + -8a + 15a = 3(3a + -7) + -5

Combine like terms: 12 + 5 = 17
17 + 2a + -8a + 15a = 3(3a + -7) + -5

Combine like terms: 2a + -8a = -6a
17 + -6a + 15a = 3(3a + -7) + -5

Combine like terms: -6a + 15a = 9a
17 + 9a = 3(3a + -7) + -5

Reorder the terms:
17 + 9a = 3(-7 + 3a) + -5
17 + 9a = (-7 * 3 + 3a * 3) + -5
17 + 9a = (-21 + 9a) + -5

Reorder the terms:
17 + 9a = -21 + -5 + 9a

Combine like terms: -21 + -5 = -26
17 + 9a = -26 + 9a

Add '-9a' to each side of the equation.
17 + 9a + -9a = -26 + 9a + -9a

Combine like terms: 9a + -9a = 0
17 + 0 = -26 + 9a + -9a
17 = -26 + 9a + -9a

Combine like terms: 9a + -9a = 0
17 = -26 + 0
17 = -26

Solving
17 = -26

Couldn't find a variable to solve for.

This equation is invalid, the left and right sides are not equal, therefore there is no solution.

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