-2(1+5a)=6(a+3)

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Solution for -2(1+5a)=6(a+3) equation:


Simplifying
-2(1 + 5a) = 6(a + 3)
(1 * -2 + 5a * -2) = 6(a + 3)
(-2 + -10a) = 6(a + 3)

Reorder the terms:
-2 + -10a = 6(3 + a)
-2 + -10a = (3 * 6 + a * 6)
-2 + -10a = (18 + 6a)

Solving
-2 + -10a = 18 + 6a

Solving for variable 'a'.

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

Add '-6a' to each side of the equation.
-2 + -10a + -6a = 18 + 6a + -6a

Combine like terms: -10a + -6a = -16a
-2 + -16a = 18 + 6a + -6a

Combine like terms: 6a + -6a = 0
-2 + -16a = 18 + 0
-2 + -16a = 18

Add '2' to each side of the equation.
-2 + 2 + -16a = 18 + 2

Combine like terms: -2 + 2 = 0
0 + -16a = 18 + 2
-16a = 18 + 2

Combine like terms: 18 + 2 = 20
-16a = 20

Divide each side by '-16'.
a = -1.25

Simplifying
a = -1.25

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