2am+3(a-7)=a+3

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Solution for 2am+3(a-7)=a+3 equation:


Simplifying
2am + 3(a + -7) = a + 3

Reorder the terms:
2am + 3(-7 + a) = a + 3
2am + (-7 * 3 + a * 3) = a + 3
2am + (-21 + 3a) = a + 3

Reorder the terms:
-21 + 3a + 2am = a + 3

Reorder the terms:
-21 + 3a + 2am = 3 + a

Solving
-21 + 3a + 2am = 3 + a

Solving for variable 'a'.

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

Add '-1a' to each side of the equation.
-21 + 3a + -1a + 2am = 3 + a + -1a

Combine like terms: 3a + -1a = 2a
-21 + 2a + 2am = 3 + a + -1a

Combine like terms: a + -1a = 0
-21 + 2a + 2am = 3 + 0
-21 + 2a + 2am = 3

Add '21' to each side of the equation.
-21 + 2a + 21 + 2am = 3 + 21

Reorder the terms:
-21 + 21 + 2a + 2am = 3 + 21

Combine like terms: -21 + 21 = 0
0 + 2a + 2am = 3 + 21
2a + 2am = 3 + 21

Combine like terms: 3 + 21 = 24
2a + 2am = 24

Reorder the terms:
-24 + 2a + 2am = 24 + -24

Combine like terms: 24 + -24 = 0
-24 + 2a + 2am = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(-12 + a + am) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(-12 + a + am)' equal to zero and attempt to solve: Simplifying -12 + a + am = 0 Solving -12 + a + am = 0 Move all terms containing a to the left, all other terms to the right. Add '12' to each side of the equation. -12 + a + 12 + am = 0 + 12 Reorder the terms: -12 + 12 + a + am = 0 + 12 Combine like terms: -12 + 12 = 0 0 + a + am = 0 + 12 a + am = 0 + 12 Combine like terms: 0 + 12 = 12 a + am = 12 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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