6a-1=7(8a+7)

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Solution for 6a-1=7(8a+7) equation:


Simplifying
6a + -1 = 7(8a + 7)

Reorder the terms:
-1 + 6a = 7(8a + 7)

Reorder the terms:
-1 + 6a = 7(7 + 8a)
-1 + 6a = (7 * 7 + 8a * 7)
-1 + 6a = (49 + 56a)

Solving
-1 + 6a = 49 + 56a

Solving for variable 'a'.

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

Add '-56a' to each side of the equation.
-1 + 6a + -56a = 49 + 56a + -56a

Combine like terms: 6a + -56a = -50a
-1 + -50a = 49 + 56a + -56a

Combine like terms: 56a + -56a = 0
-1 + -50a = 49 + 0
-1 + -50a = 49

Add '1' to each side of the equation.
-1 + 1 + -50a = 49 + 1

Combine like terms: -1 + 1 = 0
0 + -50a = 49 + 1
-50a = 49 + 1

Combine like terms: 49 + 1 = 50
-50a = 50

Divide each side by '-50'.
a = -1

Simplifying
a = -1

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