8(8a+3)+7(4a-9)=-a+9(a+5)

Solution for 8(8a+3)+7(4a-9)=-a+9(a+5) equation:

Simplifying
8(8a + 3) + 7(4a + -9) = -1a + 9(a + 5)

Reorder the terms:
8(3 + 8a) + 7(4a + -9) = -1a + 9(a + 5)
(3 * 8 + 8a * 8) + 7(4a + -9) = -1a + 9(a + 5)
(24 + 64a) + 7(4a + -9) = -1a + 9(a + 5)

Reorder the terms:
24 + 64a + 7(-9 + 4a) = -1a + 9(a + 5)
24 + 64a + (-9 * 7 + 4a * 7) = -1a + 9(a + 5)
24 + 64a + (-63 + 28a) = -1a + 9(a + 5)

Reorder the terms:
24 + -63 + 64a + 28a = -1a + 9(a + 5)

Combine like terms: 24 + -63 = -39
-39 + 64a + 28a = -1a + 9(a + 5)

Combine like terms: 64a + 28a = 92a
-39 + 92a = -1a + 9(a + 5)

Reorder the terms:
-39 + 92a = -1a + 9(5 + a)
-39 + 92a = -1a + (5 * 9 + a * 9)
-39 + 92a = -1a + (45 + 9a)

Reorder the terms:
-39 + 92a = 45 + -1a + 9a

Combine like terms: -1a + 9a = 8a
-39 + 92a = 45 + 8a

Solving
-39 + 92a = 45 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
-39 + 92a + -8a = 45 + 8a + -8a

Combine like terms: 92a + -8a = 84a
-39 + 84a = 45 + 8a + -8a

Combine like terms: 8a + -8a = 0
-39 + 84a = 45 + 0
-39 + 84a = 45

Add '39' to each side of the equation.
-39 + 39 + 84a = 45 + 39

Combine like terms: -39 + 39 = 0
0 + 84a = 45 + 39
84a = 45 + 39

Combine like terms: 45 + 39 = 84
84a = 84

Divide each side by '84'.
a = 1

Simplifying
a = 1