4a+32=6am-48

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Solution for 4a+32=6am-48 equation:


Simplifying
4a + 32 = 6am + -48

Reorder the terms:
32 + 4a = 6am + -48

Reorder the terms:
32 + 4a = -48 + 6am

Solving
32 + 4a = -48 + 6am

Solving for variable 'a'.

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

Add '-6am' to each side of the equation.
32 + 4a + -6am = -48 + 6am + -6am

Combine like terms: 6am + -6am = 0
32 + 4a + -6am = -48 + 0
32 + 4a + -6am = -48

Add '-32' to each side of the equation.
32 + 4a + -32 + -6am = -48 + -32

Reorder the terms:
32 + -32 + 4a + -6am = -48 + -32

Combine like terms: 32 + -32 = 0
0 + 4a + -6am = -48 + -32
4a + -6am = -48 + -32

Combine like terms: -48 + -32 = -80
4a + -6am = -80

Reorder the terms:
80 + 4a + -6am = -80 + 80

Combine like terms: -80 + 80 = 0
80 + 4a + -6am = 0

Factor out the Greatest Common Factor (GCF), '2'.
2(40 + 2a + -3am) = 0

Ignore the factor 2.

Subproblem 1

Set the factor '(40 + 2a + -3am)' equal to zero and attempt to solve: Simplifying 40 + 2a + -3am = 0 Solving 40 + 2a + -3am = 0 Move all terms containing a to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 2a + -40 + -3am = 0 + -40 Reorder the terms: 40 + -40 + 2a + -3am = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 2a + -3am = 0 + -40 2a + -3am = 0 + -40 Combine like terms: 0 + -40 = -40 2a + -3am = -40 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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