-7(2-5a)-(7a+1)=69

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Solution for -7(2-5a)-(7a+1)=69 equation: 


Simplifying
-7(2 + -5a) + -1(7a + 1) = 69
(2 * -7 + -5a * -7) + -1(7a + 1) = 69
(-14 + 35a) + -1(7a + 1) = 69

Reorder the terms:
-14 + 35a + -1(1 + 7a) = 69
-14 + 35a + (1 * -1 + 7a * -1) = 69
-14 + 35a + (-1 + -7a) = 69

Reorder the terms:
-14 + -1 + 35a + -7a = 69

Combine like terms: -14 + -1 = -15
-15 + 35a + -7a = 69

Combine like terms: 35a + -7a = 28a
-15 + 28a = 69

Solving
-15 + 28a = 69

Solving for variable 'a'.

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

Add '15' to each side of the equation.
-15 + 15 + 28a = 69 + 15

Combine like terms: -15 + 15 = 0
0 + 28a = 69 + 15
28a = 69 + 15

Combine like terms: 69 + 15 = 84
28a = 84

Divide each side by '28'.
a = 3

Simplifying
a = 3

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