4a+6(5+5a)=-3a-(a+8)

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Solution for 4a+6(5+5a)=-3a-(a+8) equation:


Simplifying
4a + 6(5 + 5a) = -3a + -1(a + 8)
4a + (5 * 6 + 5a * 6) = -3a + -1(a + 8)
4a + (30 + 30a) = -3a + -1(a + 8)

Reorder the terms:
30 + 4a + 30a = -3a + -1(a + 8)

Combine like terms: 4a + 30a = 34a
30 + 34a = -3a + -1(a + 8)

Reorder the terms:
30 + 34a = -3a + -1(8 + a)
30 + 34a = -3a + (8 * -1 + a * -1)
30 + 34a = -3a + (-8 + -1a)

Reorder the terms:
30 + 34a = -8 + -3a + -1a

Combine like terms: -3a + -1a = -4a
30 + 34a = -8 + -4a

Solving
30 + 34a = -8 + -4a

Solving for variable 'a'.

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

Add '4a' to each side of the equation.
30 + 34a + 4a = -8 + -4a + 4a

Combine like terms: 34a + 4a = 38a
30 + 38a = -8 + -4a + 4a

Combine like terms: -4a + 4a = 0
30 + 38a = -8 + 0
30 + 38a = -8

Add '-30' to each side of the equation.
30 + -30 + 38a = -8 + -30

Combine like terms: 30 + -30 = 0
0 + 38a = -8 + -30
38a = -8 + -30

Combine like terms: -8 + -30 = -38
38a = -38

Divide each side by '38'.
a = -1

Simplifying
a = -1

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