-6a-11=6(4a-7)+1

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Solution for -6a-11=6(4a-7)+1 equation:


Simplifying
-6a + -11 = 6(4a + -7) + 1

Reorder the terms:
-11 + -6a = 6(4a + -7) + 1

Reorder the terms:
-11 + -6a = 6(-7 + 4a) + 1
-11 + -6a = (-7 * 6 + 4a * 6) + 1
-11 + -6a = (-42 + 24a) + 1

Reorder the terms:
-11 + -6a = -42 + 1 + 24a

Combine like terms: -42 + 1 = -41
-11 + -6a = -41 + 24a

Solving
-11 + -6a = -41 + 24a

Solving for variable 'a'.

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

Add '-24a' to each side of the equation.
-11 + -6a + -24a = -41 + 24a + -24a

Combine like terms: -6a + -24a = -30a
-11 + -30a = -41 + 24a + -24a

Combine like terms: 24a + -24a = 0
-11 + -30a = -41 + 0
-11 + -30a = -41

Add '11' to each side of the equation.
-11 + 11 + -30a = -41 + 11

Combine like terms: -11 + 11 = 0
0 + -30a = -41 + 11
-30a = -41 + 11

Combine like terms: -41 + 11 = -30
-30a = -30

Divide each side by '-30'.
a = 1

Simplifying
a = 1

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