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Simplifying 6k(m + 8) + 50km + 10 = 0 Reorder the terms: 6k(8 + m) + 50km + 10 = 0 (8 * 6k + m * 6k) + 50km + 10 = 0 (48k + 6km) + 50km + 10 = 0 Reorder the terms: 10 + 48k + 6km + 50km = 0 Combine like terms: 6km + 50km = 56km 10 + 48k + 56km = 0 Solving 10 + 48k + 56km = 0 Solving for variable 'k'. Move all terms containing k to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 48k + -10 + 56km = 0 + -10 Reorder the terms: 10 + -10 + 48k + 56km = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 48k + 56km = 0 + -10 48k + 56km = 0 + -10 Combine like terms: 0 + -10 = -10 48k + 56km = -10 Reorder the terms: 10 + 48k + 56km = -10 + 10 Combine like terms: -10 + 10 = 0 10 + 48k + 56km = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(5 + 24k + 28km) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(5 + 24k + 28km)' equal to zero and attempt to solve: Simplifying 5 + 24k + 28km = 0 Solving 5 + 24k + 28km = 0 Move all terms containing k to the left, all other terms to the right. Add '-5' to each side of the equation. 5 + 24k + -5 + 28km = 0 + -5 Reorder the terms: 5 + -5 + 24k + 28km = 0 + -5 Combine like terms: 5 + -5 = 0 0 + 24k + 28km = 0 + -5 24k + 28km = 0 + -5 Combine like terms: 0 + -5 = -5 24k + 28km = -5 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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