30=6(1-7a)-8(-5a-1)

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Solution for 30=6(1-7a)-8(-5a-1) equation:


Simplifying
30 = 6(1 + -7a) + -8(-5a + -1)
30 = (1 * 6 + -7a * 6) + -8(-5a + -1)
30 = (6 + -42a) + -8(-5a + -1)

Reorder the terms:
30 = 6 + -42a + -8(-1 + -5a)
30 = 6 + -42a + (-1 * -8 + -5a * -8)
30 = 6 + -42a + (8 + 40a)

Reorder the terms:
30 = 6 + 8 + -42a + 40a

Combine like terms: 6 + 8 = 14
30 = 14 + -42a + 40a

Combine like terms: -42a + 40a = -2a
30 = 14 + -2a

Solving
30 = 14 + -2a

Solving for variable 'a'.

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

Add '2a' to each side of the equation.
30 + 2a = 14 + -2a + 2a

Combine like terms: -2a + 2a = 0
30 + 2a = 14 + 0
30 + 2a = 14

Add '-30' to each side of the equation.
30 + -30 + 2a = 14 + -30

Combine like terms: 30 + -30 = 0
0 + 2a = 14 + -30
2a = 14 + -30

Combine like terms: 14 + -30 = -16
2a = -16

Divide each side by '2'.
a = -8

Simplifying
a = -8

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