-5(7a-1)-7=-2(-3a+1)

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Solution for -5(7a-1)-7=-2(-3a+1) equation:


Simplifying
-5(7a + -1) + -7 = -2(-3a + 1)

Reorder the terms:
-5(-1 + 7a) + -7 = -2(-3a + 1)
(-1 * -5 + 7a * -5) + -7 = -2(-3a + 1)
(5 + -35a) + -7 = -2(-3a + 1)

Reorder the terms:
5 + -7 + -35a = -2(-3a + 1)

Combine like terms: 5 + -7 = -2
-2 + -35a = -2(-3a + 1)

Reorder the terms:
-2 + -35a = -2(1 + -3a)
-2 + -35a = (1 * -2 + -3a * -2)
-2 + -35a = (-2 + 6a)

Add '2' to each side of the equation.
-2 + 2 + -35a = -2 + 2 + 6a

Combine like terms: -2 + 2 = 0
0 + -35a = -2 + 2 + 6a
-35a = -2 + 2 + 6a

Combine like terms: -2 + 2 = 0
-35a = 0 + 6a
-35a = 6a

Solving
-35a = 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.
-35a + -6a = 6a + -6a

Combine like terms: -35a + -6a = -41a
-41a = 6a + -6a

Combine like terms: 6a + -6a = 0
-41a = 0

Divide each side by '-41'.
a = 0

Simplifying
a = 0

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