7a+4a=-6(-6a-1)+7(-5a-8)

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Solution for 7a+4a=-6(-6a-1)+7(-5a-8) equation:


Simplifying
7a + 4a = -6(-6a + -1) + 7(-5a + -8)

Combine like terms: 7a + 4a = 11a
11a = -6(-6a + -1) + 7(-5a + -8)

Reorder the terms:
11a = -6(-1 + -6a) + 7(-5a + -8)
11a = (-1 * -6 + -6a * -6) + 7(-5a + -8)
11a = (6 + 36a) + 7(-5a + -8)

Reorder the terms:
11a = 6 + 36a + 7(-8 + -5a)
11a = 6 + 36a + (-8 * 7 + -5a * 7)
11a = 6 + 36a + (-56 + -35a)

Reorder the terms:
11a = 6 + -56 + 36a + -35a

Combine like terms: 6 + -56 = -50
11a = -50 + 36a + -35a

Combine like terms: 36a + -35a = 1a
11a = -50 + 1a

Solving
11a = -50 + 1a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
11a + -1a = -50 + 1a + -1a

Combine like terms: 11a + -1a = 10a
10a = -50 + 1a + -1a

Combine like terms: 1a + -1a = 0
10a = -50 + 0
10a = -50

Divide each side by '10'.
a = -5

Simplifying
a = -5

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