-5a-3(8a-1)3=5a+37

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Solution for -5a-3(8a-1)3=5a+37 equation:


Simplifying
-5a + -3(8a + -1) * 3 = 5a + 37

Reorder the terms:
-5a + -3(-1 + 8a) * 3 = 5a + 37

Reorder the terms for easier multiplication:
-5a + -3 * 3(-1 + 8a) = 5a + 37

Multiply -3 * 3
-5a + -9(-1 + 8a) = 5a + 37
-5a + (-1 * -9 + 8a * -9) = 5a + 37
-5a + (9 + -72a) = 5a + 37

Reorder the terms:
9 + -5a + -72a = 5a + 37

Combine like terms: -5a + -72a = -77a
9 + -77a = 5a + 37

Reorder the terms:
9 + -77a = 37 + 5a

Solving
9 + -77a = 37 + 5a

Solving for variable 'a'.

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

Add '-5a' to each side of the equation.
9 + -77a + -5a = 37 + 5a + -5a

Combine like terms: -77a + -5a = -82a
9 + -82a = 37 + 5a + -5a

Combine like terms: 5a + -5a = 0
9 + -82a = 37 + 0
9 + -82a = 37

Add '-9' to each side of the equation.
9 + -9 + -82a = 37 + -9

Combine like terms: 9 + -9 = 0
0 + -82a = 37 + -9
-82a = 37 + -9

Combine like terms: 37 + -9 = 28
-82a = 28

Divide each side by '-82'.
a = -0.3414634146

Simplifying
a = -0.3414634146

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