9a-4+3(a-11)m=23

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Solution for 9a-4+3(a-11)m=23 equation:


Simplifying
9a + -4 + 3(a + -11) * m = 23

Reorder the terms:
9a + -4 + 3(-11 + a) * m = 23

Reorder the terms for easier multiplication:
9a + -4 + 3m(-11 + a) = 23
9a + -4 + (-11 * 3m + a * 3m) = 23

Reorder the terms:
9a + -4 + (3am + -33m) = 23
9a + -4 + (3am + -33m) = 23

Reorder the terms:
-4 + 9a + 3am + -33m = 23

Solving
-4 + 9a + 3am + -33m = 23

Solving for variable 'a'.

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

Add '4' to each side of the equation.
-4 + 9a + 3am + 4 + -33m = 23 + 4

Reorder the terms:
-4 + 4 + 9a + 3am + -33m = 23 + 4

Combine like terms: -4 + 4 = 0
0 + 9a + 3am + -33m = 23 + 4
9a + 3am + -33m = 23 + 4

Combine like terms: 23 + 4 = 27
9a + 3am + -33m = 27

Add '33m' to each side of the equation.
9a + 3am + -33m + 33m = 27 + 33m

Combine like terms: -33m + 33m = 0
9a + 3am + 0 = 27 + 33m
9a + 3am = 27 + 33m

Reorder the terms:
-27 + 9a + 3am + -33m = 27 + 33m + -27 + -33m

Reorder the terms:
-27 + 9a + 3am + -33m = 27 + -27 + 33m + -33m

Combine like terms: 27 + -27 = 0
-27 + 9a + 3am + -33m = 0 + 33m + -33m
-27 + 9a + 3am + -33m = 33m + -33m

Combine like terms: 33m + -33m = 0
-27 + 9a + 3am + -33m = 0

Factor out the Greatest Common Factor (GCF), '3'.
3(-9 + 3a + am + -11m) = 0

Ignore the factor 3.

Subproblem 1

Set the factor '(-9 + 3a + am + -11m)' equal to zero and attempt to solve: Simplifying -9 + 3a + am + -11m = 0 Solving -9 + 3a + am + -11m = 0 Move all terms containing a to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 3a + am + 9 + -11m = 0 + 9 Reorder the terms: -9 + 9 + 3a + am + -11m = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 3a + am + -11m = 0 + 9 3a + am + -11m = 0 + 9 Combine like terms: 0 + 9 = 9 3a + am + -11m = 9 Add '11m' to each side of the equation. 3a + am + -11m + 11m = 9 + 11m Combine like terms: -11m + 11m = 0 3a + am + 0 = 9 + 11m 3a + am = 9 + 11m The solution to this equation could not be determined. This subproblem is being ignored because a solution could not be determined. The solution to this equation could not be determined.

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