38=9(2a+3)-(10a-7)

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Solution for 38=9(2a+3)-(10a-7) equation:


Simplifying
38 = 9(2a + 3) + -1(10a + -7)

Reorder the terms:
38 = 9(3 + 2a) + -1(10a + -7)
38 = (3 * 9 + 2a * 9) + -1(10a + -7)
38 = (27 + 18a) + -1(10a + -7)

Reorder the terms:
38 = 27 + 18a + -1(-7 + 10a)
38 = 27 + 18a + (-7 * -1 + 10a * -1)
38 = 27 + 18a + (7 + -10a)

Reorder the terms:
38 = 27 + 7 + 18a + -10a

Combine like terms: 27 + 7 = 34
38 = 34 + 18a + -10a

Combine like terms: 18a + -10a = 8a
38 = 34 + 8a

Solving
38 = 34 + 8a

Solving for variable 'a'.

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

Add '-8a' to each side of the equation.
38 + -8a = 34 + 8a + -8a

Combine like terms: 8a + -8a = 0
38 + -8a = 34 + 0
38 + -8a = 34

Add '-38' to each side of the equation.
38 + -38 + -8a = 34 + -38

Combine like terms: 38 + -38 = 0
0 + -8a = 34 + -38
-8a = 34 + -38

Combine like terms: 34 + -38 = -4
-8a = -4

Divide each side by '-8'.
a = 0.5

Simplifying
a = 0.5

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