7(2a-6)=6(5a+7)

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


Simplifying
7(2a + -6) = 6(5a + 7)

Reorder the terms:
7(-6 + 2a) = 6(5a + 7)
(-6 * 7 + 2a * 7) = 6(5a + 7)
(-42 + 14a) = 6(5a + 7)

Reorder the terms:
-42 + 14a = 6(7 + 5a)
-42 + 14a = (7 * 6 + 5a * 6)
-42 + 14a = (42 + 30a)

Solving
-42 + 14a = 42 + 30a

Solving for variable 'a'.

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

Add '-30a' to each side of the equation.
-42 + 14a + -30a = 42 + 30a + -30a

Combine like terms: 14a + -30a = -16a
-42 + -16a = 42 + 30a + -30a

Combine like terms: 30a + -30a = 0
-42 + -16a = 42 + 0
-42 + -16a = 42

Add '42' to each side of the equation.
-42 + 42 + -16a = 42 + 42

Combine like terms: -42 + 42 = 0
0 + -16a = 42 + 42
-16a = 42 + 42

Combine like terms: 42 + 42 = 84
-16a = 84

Divide each side by '-16'.
a = -5.25

Simplifying
a = -5.25

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