3(-10a)=8(-4a-1)

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Solution for 3(-10a)=8(-4a-1) equation:


Simplifying
3(-10a) = 8(-4a + -1)

Remove parenthesis around (-10a)
3 * -10a = 8(-4a + -1)

Multiply 3 * -10
-30a = 8(-4a + -1)

Reorder the terms:
-30a = 8(-1 + -4a)
-30a = (-1 * 8 + -4a * 8)
-30a = (-8 + -32a)

Solving
-30a = -8 + -32a

Solving for variable 'a'.

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

Add '32a' to each side of the equation.
-30a + 32a = -8 + -32a + 32a

Combine like terms: -30a + 32a = 2a
2a = -8 + -32a + 32a

Combine like terms: -32a + 32a = 0
2a = -8 + 0
2a = -8

Divide each side by '2'.
a = -4

Simplifying
a = -4

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