3a-2(a-3(a-3))-4=-1

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Solution for 3a-2(a-3(a-3))-4=-1 equation:


Simplifying
3a + -2(a + -3(a + -3)) + -4 = -1

Reorder the terms:
3a + -2(a + -3(-3 + a)) + -4 = -1
3a + -2(a + (-3 * -3 + a * -3)) + -4 = -1
3a + -2(a + (9 + -3a)) + -4 = -1

Reorder the terms:
3a + -2(9 + a + -3a) + -4 = -1

Combine like terms: a + -3a = -2a
3a + -2(9 + -2a) + -4 = -1
3a + (9 * -2 + -2a * -2) + -4 = -1
3a + (-18 + 4a) + -4 = -1

Reorder the terms:
-18 + -4 + 3a + 4a = -1

Combine like terms: -18 + -4 = -22
-22 + 3a + 4a = -1

Combine like terms: 3a + 4a = 7a
-22 + 7a = -1

Solving
-22 + 7a = -1

Solving for variable 'a'.

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

Add '22' to each side of the equation.
-22 + 22 + 7a = -1 + 22

Combine like terms: -22 + 22 = 0
0 + 7a = -1 + 22
7a = -1 + 22

Combine like terms: -1 + 22 = 21
7a = 21

Divide each side by '7'.
a = 3

Simplifying
a = 3

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