3a-6=4(a+1)+13a+7

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Solution for 3a-6=4(a+1)+13a+7 equation:


Simplifying
3a + -6 = 4(a + 1) + 13a + 7

Reorder the terms:
-6 + 3a = 4(a + 1) + 13a + 7

Reorder the terms:
-6 + 3a = 4(1 + a) + 13a + 7
-6 + 3a = (1 * 4 + a * 4) + 13a + 7
-6 + 3a = (4 + 4a) + 13a + 7

Reorder the terms:
-6 + 3a = 4 + 7 + 4a + 13a

Combine like terms: 4 + 7 = 11
-6 + 3a = 11 + 4a + 13a

Combine like terms: 4a + 13a = 17a
-6 + 3a = 11 + 17a

Solving
-6 + 3a = 11 + 17a

Solving for variable 'a'.

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

Add '-17a' to each side of the equation.
-6 + 3a + -17a = 11 + 17a + -17a

Combine like terms: 3a + -17a = -14a
-6 + -14a = 11 + 17a + -17a

Combine like terms: 17a + -17a = 0
-6 + -14a = 11 + 0
-6 + -14a = 11

Add '6' to each side of the equation.
-6 + 6 + -14a = 11 + 6

Combine like terms: -6 + 6 = 0
0 + -14a = 11 + 6
-14a = 11 + 6

Combine like terms: 11 + 6 = 17
-14a = 17

Divide each side by '-14'.
a = -1.214285714

Simplifying
a = -1.214285714

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