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Simplifying 6am + 3a + -5 = 7a + -23 Reorder the terms: -5 + 3a + 6am = 7a + -23 Reorder the terms: -5 + 3a + 6am = -23 + 7a Solving -5 + 3a + 6am = -23 + 7a Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '-7a' to each side of the equation. -5 + 3a + -7a + 6am = -23 + 7a + -7a Combine like terms: 3a + -7a = -4a -5 + -4a + 6am = -23 + 7a + -7a Combine like terms: 7a + -7a = 0 -5 + -4a + 6am = -23 + 0 -5 + -4a + 6am = -23 Add '5' to each side of the equation. -5 + -4a + 5 + 6am = -23 + 5 Reorder the terms: -5 + 5 + -4a + 6am = -23 + 5 Combine like terms: -5 + 5 = 0 0 + -4a + 6am = -23 + 5 -4a + 6am = -23 + 5 Combine like terms: -23 + 5 = -18 -4a + 6am = -18 Reorder the terms: 18 + -4a + 6am = -18 + 18 Combine like terms: -18 + 18 = 0 18 + -4a + 6am = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(9 + -2a + 3am) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(9 + -2a + 3am)' equal to zero and attempt to solve: Simplifying 9 + -2a + 3am = 0 Solving 9 + -2a + 3am = 0 Move all terms containing a to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -2a + -9 + 3am = 0 + -9 Reorder the terms: 9 + -9 + -2a + 3am = 0 + -9 Combine like terms: 9 + -9 = 0 0 + -2a + 3am = 0 + -9 -2a + 3am = 0 + -9 Combine like terms: 0 + -9 = -9 -2a + 3am = -9 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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