-6a+4(1+5a)=2(8a+7)

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Solution for -6a+4(1+5a)=2(8a+7) equation:


Simplifying
-6a + 4(1 + 5a) = 2(8a + 7)
-6a + (1 * 4 + 5a * 4) = 2(8a + 7)
-6a + (4 + 20a) = 2(8a + 7)

Reorder the terms:
4 + -6a + 20a = 2(8a + 7)

Combine like terms: -6a + 20a = 14a
4 + 14a = 2(8a + 7)

Reorder the terms:
4 + 14a = 2(7 + 8a)
4 + 14a = (7 * 2 + 8a * 2)
4 + 14a = (14 + 16a)

Solving
4 + 14a = 14 + 16a

Solving for variable 'a'.

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

Add '-16a' to each side of the equation.
4 + 14a + -16a = 14 + 16a + -16a

Combine like terms: 14a + -16a = -2a
4 + -2a = 14 + 16a + -16a

Combine like terms: 16a + -16a = 0
4 + -2a = 14 + 0
4 + -2a = 14

Add '-4' to each side of the equation.
4 + -4 + -2a = 14 + -4

Combine like terms: 4 + -4 = 0
0 + -2a = 14 + -4
-2a = 14 + -4

Combine like terms: 14 + -4 = 10
-2a = 10

Divide each side by '-2'.
a = -5

Simplifying
a = -5

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