-3(2a-1)-2(5a+1)=4(3a+4)

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Solution for -3(2a-1)-2(5a+1)=4(3a+4) equation:


Simplifying
-3(2a + -1) + -2(5a + 1) = 4(3a + 4)

Reorder the terms:
-3(-1 + 2a) + -2(5a + 1) = 4(3a + 4)
(-1 * -3 + 2a * -3) + -2(5a + 1) = 4(3a + 4)
(3 + -6a) + -2(5a + 1) = 4(3a + 4)

Reorder the terms:
3 + -6a + -2(1 + 5a) = 4(3a + 4)
3 + -6a + (1 * -2 + 5a * -2) = 4(3a + 4)
3 + -6a + (-2 + -10a) = 4(3a + 4)

Reorder the terms:
3 + -2 + -6a + -10a = 4(3a + 4)

Combine like terms: 3 + -2 = 1
1 + -6a + -10a = 4(3a + 4)

Combine like terms: -6a + -10a = -16a
1 + -16a = 4(3a + 4)

Reorder the terms:
1 + -16a = 4(4 + 3a)
1 + -16a = (4 * 4 + 3a * 4)
1 + -16a = (16 + 12a)

Solving
1 + -16a = 16 + 12a

Solving for variable 'a'.

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

Add '-12a' to each side of the equation.
1 + -16a + -12a = 16 + 12a + -12a

Combine like terms: -16a + -12a = -28a
1 + -28a = 16 + 12a + -12a

Combine like terms: 12a + -12a = 0
1 + -28a = 16 + 0
1 + -28a = 16

Add '-1' to each side of the equation.
1 + -1 + -28a = 16 + -1

Combine like terms: 1 + -1 = 0
0 + -28a = 16 + -1
-28a = 16 + -1

Combine like terms: 16 + -1 = 15
-28a = 15

Divide each side by '-28'.
a = -0.5357142857

Simplifying
a = -0.5357142857

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