3(5-a)-2(a-2)=-1

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Solution for 3(5-a)-2(a-2)=-1 equation: 


Simplifying
3(5 + -1a) + -2(a + -2) = -1
(5 * 3 + -1a * 3) + -2(a + -2) = -1
(15 + -3a) + -2(a + -2) = -1

Reorder the terms:
15 + -3a + -2(-2 + a) = -1
15 + -3a + (-2 * -2 + a * -2) = -1
15 + -3a + (4 + -2a) = -1

Reorder the terms:
15 + 4 + -3a + -2a = -1

Combine like terms: 15 + 4 = 19
19 + -3a + -2a = -1

Combine like terms: -3a + -2a = -5a
19 + -5a = -1

Solving
19 + -5a = -1

Solving for variable 'a'.

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

Add '-19' to each side of the equation.
19 + -19 + -5a = -1 + -19

Combine like terms: 19 + -19 = 0
0 + -5a = -1 + -19
-5a = -1 + -19

Combine like terms: -1 + -19 = -20
-5a = -20

Divide each side by '-5'.
a = 4

Simplifying
a = 4

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