-4(a+6)+5(a-3)=3(a-1)

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Solution for -4(a+6)+5(a-3)=3(a-1) equation:


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

Reorder the terms:
-4(6 + a) + 5(a + -3) = 3(a + -1)
(6 * -4 + a * -4) + 5(a + -3) = 3(a + -1)
(-24 + -4a) + 5(a + -3) = 3(a + -1)

Reorder the terms:
-24 + -4a + 5(-3 + a) = 3(a + -1)
-24 + -4a + (-3 * 5 + a * 5) = 3(a + -1)
-24 + -4a + (-15 + 5a) = 3(a + -1)

Reorder the terms:
-24 + -15 + -4a + 5a = 3(a + -1)

Combine like terms: -24 + -15 = -39
-39 + -4a + 5a = 3(a + -1)

Combine like terms: -4a + 5a = 1a
-39 + 1a = 3(a + -1)

Reorder the terms:
-39 + 1a = 3(-1 + a)
-39 + 1a = (-1 * 3 + a * 3)
-39 + 1a = (-3 + 3a)

Solving
-39 + 1a = -3 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
-39 + 1a + -3a = -3 + 3a + -3a

Combine like terms: 1a + -3a = -2a
-39 + -2a = -3 + 3a + -3a

Combine like terms: 3a + -3a = 0
-39 + -2a = -3 + 0
-39 + -2a = -3

Add '39' to each side of the equation.
-39 + 39 + -2a = -3 + 39

Combine like terms: -39 + 39 = 0
0 + -2a = -3 + 39
-2a = -3 + 39

Combine like terms: -3 + 39 = 36
-2a = 36

Divide each side by '-2'.
a = -18

Simplifying
a = -18

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