33=7(4a+9)

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Solution for 33=7(4a+9) equation:


Simplifying
33 = 7(4a + 9)

Reorder the terms:
33 = 7(9 + 4a)
33 = (9 * 7 + 4a * 7)
33 = (63 + 28a)

Solving
33 = 63 + 28a

Solving for variable 'a'.

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

Add '-28a' to each side of the equation.
33 + -28a = 63 + 28a + -28a

Combine like terms: 28a + -28a = 0
33 + -28a = 63 + 0
33 + -28a = 63

Add '-33' to each side of the equation.
33 + -33 + -28a = 63 + -33

Combine like terms: 33 + -33 = 0
0 + -28a = 63 + -33
-28a = 63 + -33

Combine like terms: 63 + -33 = 30
-28a = 30

Divide each side by '-28'.
a = -1.071428571

Simplifying
a = -1.071428571

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