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Simplifying 18 + -6a = 4am + -4(a + 3) Reorder the terms: 18 + -6a = 4am + -4(3 + a) 18 + -6a = 4am + (3 * -4 + a * -4) 18 + -6a = 4am + (-12 + -4a) Reorder the terms: 18 + -6a = -12 + -4a + 4am Solving 18 + -6a = -12 + -4a + 4am Solving for variable 'a'. Move all terms containing a to the left, all other terms to the right. Add '4a' to each side of the equation. 18 + -6a + 4a = -12 + -4a + 4a + 4am Combine like terms: -6a + 4a = -2a 18 + -2a = -12 + -4a + 4a + 4am Combine like terms: -4a + 4a = 0 18 + -2a = -12 + 0 + 4am 18 + -2a = -12 + 4am Add '-4am' to each side of the equation. 18 + -2a + -4am = -12 + 4am + -4am Combine like terms: 4am + -4am = 0 18 + -2a + -4am = -12 + 0 18 + -2a + -4am = -12 Add '-18' to each side of the equation. 18 + -2a + -18 + -4am = -12 + -18 Reorder the terms: 18 + -18 + -2a + -4am = -12 + -18 Combine like terms: 18 + -18 = 0 0 + -2a + -4am = -12 + -18 -2a + -4am = -12 + -18 Combine like terms: -12 + -18 = -30 -2a + -4am = -30 Reorder the terms: 30 + -2a + -4am = -30 + 30 Combine like terms: -30 + 30 = 0 30 + -2a + -4am = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(15 + -1a + -2am) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(15 + -1a + -2am)' equal to zero and attempt to solve: Simplifying 15 + -1a + -2am = 0 Solving 15 + -1a + -2am = 0 Move all terms containing a to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -1a + -15 + -2am = 0 + -15 Reorder the terms: 15 + -15 + -1a + -2am = 0 + -15 Combine like terms: 15 + -15 = 0 0 + -1a + -2am = 0 + -15 -1a + -2am = 0 + -15 Combine like terms: 0 + -15 = -15 -1a + -2am = -15 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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