-3(a-1)+5(a-4)=-27

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Solution for -3(a-1)+5(a-4)=-27 equation:


Simplifying
-3(a + -1) + 5(a + -4) = -27

Reorder the terms:
-3(-1 + a) + 5(a + -4) = -27
(-1 * -3 + a * -3) + 5(a + -4) = -27
(3 + -3a) + 5(a + -4) = -27

Reorder the terms:
3 + -3a + 5(-4 + a) = -27
3 + -3a + (-4 * 5 + a * 5) = -27
3 + -3a + (-20 + 5a) = -27

Reorder the terms:
3 + -20 + -3a + 5a = -27

Combine like terms: 3 + -20 = -17
-17 + -3a + 5a = -27

Combine like terms: -3a + 5a = 2a
-17 + 2a = -27

Solving
-17 + 2a = -27

Solving for variable 'a'.

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

Add '17' to each side of the equation.
-17 + 17 + 2a = -27 + 17

Combine like terms: -17 + 17 = 0
0 + 2a = -27 + 17
2a = -27 + 17

Combine like terms: -27 + 17 = -10
2a = -10

Divide each side by '2'.
a = -5

Simplifying
a = -5

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