9-4(2a-7)=3(a+6)

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Solution for 9-4(2a-7)=3(a+6) equation:


Simplifying
9 + -4(2a + -7) = 3(a + 6)

Reorder the terms:
9 + -4(-7 + 2a) = 3(a + 6)
9 + (-7 * -4 + 2a * -4) = 3(a + 6)
9 + (28 + -8a) = 3(a + 6)

Combine like terms: 9 + 28 = 37
37 + -8a = 3(a + 6)

Reorder the terms:
37 + -8a = 3(6 + a)
37 + -8a = (6 * 3 + a * 3)
37 + -8a = (18 + 3a)

Solving
37 + -8a = 18 + 3a

Solving for variable 'a'.

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

Add '-3a' to each side of the equation.
37 + -8a + -3a = 18 + 3a + -3a

Combine like terms: -8a + -3a = -11a
37 + -11a = 18 + 3a + -3a

Combine like terms: 3a + -3a = 0
37 + -11a = 18 + 0
37 + -11a = 18

Add '-37' to each side of the equation.
37 + -37 + -11a = 18 + -37

Combine like terms: 37 + -37 = 0
0 + -11a = 18 + -37
-11a = 18 + -37

Combine like terms: 18 + -37 = -19
-11a = -19

Divide each side by '-11'.
a = 1.727272727

Simplifying
a = 1.727272727

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