1+11a-8=10(8a-2)-5(7a+11)

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Solution for 1+11a-8=10(8a-2)-5(7a+11) equation:


Simplifying
1 + 11a + -8 = 10(8a + -2) + -5(7a + 11)

Reorder the terms:
1 + -8 + 11a = 10(8a + -2) + -5(7a + 11)

Combine like terms: 1 + -8 = -7
-7 + 11a = 10(8a + -2) + -5(7a + 11)

Reorder the terms:
-7 + 11a = 10(-2 + 8a) + -5(7a + 11)
-7 + 11a = (-2 * 10 + 8a * 10) + -5(7a + 11)
-7 + 11a = (-20 + 80a) + -5(7a + 11)

Reorder the terms:
-7 + 11a = -20 + 80a + -5(11 + 7a)
-7 + 11a = -20 + 80a + (11 * -5 + 7a * -5)
-7 + 11a = -20 + 80a + (-55 + -35a)

Reorder the terms:
-7 + 11a = -20 + -55 + 80a + -35a

Combine like terms: -20 + -55 = -75
-7 + 11a = -75 + 80a + -35a

Combine like terms: 80a + -35a = 45a
-7 + 11a = -75 + 45a

Solving
-7 + 11a = -75 + 45a

Solving for variable 'a'.

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

Add '-45a' to each side of the equation.
-7 + 11a + -45a = -75 + 45a + -45a

Combine like terms: 11a + -45a = -34a
-7 + -34a = -75 + 45a + -45a

Combine like terms: 45a + -45a = 0
-7 + -34a = -75 + 0
-7 + -34a = -75

Add '7' to each side of the equation.
-7 + 7 + -34a = -75 + 7

Combine like terms: -7 + 7 = 0
0 + -34a = -75 + 7
-34a = -75 + 7

Combine like terms: -75 + 7 = -68
-34a = -68

Divide each side by '-34'.
a = 2

Simplifying
a = 2

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