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Simplifying 3 + 6h = 12 + 3hr Solving 3 + 6h = 12 + 3hr Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-3hr' to each side of the equation. 3 + 6h + -3hr = 12 + 3hr + -3hr Combine like terms: 3hr + -3hr = 0 3 + 6h + -3hr = 12 + 0 3 + 6h + -3hr = 12 Add '-3' to each side of the equation. 3 + 6h + -3 + -3hr = 12 + -3 Reorder the terms: 3 + -3 + 6h + -3hr = 12 + -3 Combine like terms: 3 + -3 = 0 0 + 6h + -3hr = 12 + -3 6h + -3hr = 12 + -3 Combine like terms: 12 + -3 = 9 6h + -3hr = 9 Reorder the terms: -9 + 6h + -3hr = 9 + -9 Combine like terms: 9 + -9 = 0 -9 + 6h + -3hr = 0 Factor out the Greatest Common Factor (GCF), '3'. 3(-3 + 2h + -1hr) = 0 Ignore the factor 3.Subproblem 1
Set the factor '(-3 + 2h + -1hr)' equal to zero and attempt to solve: Simplifying -3 + 2h + -1hr = 0 Solving -3 + 2h + -1hr = 0 Move all terms containing h to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 2h + 3 + -1hr = 0 + 3 Reorder the terms: -3 + 3 + 2h + -1hr = 0 + 3 Combine like terms: -3 + 3 = 0 0 + 2h + -1hr = 0 + 3 2h + -1hr = 0 + 3 Combine like terms: 0 + 3 = 3 2h + -1hr = 3 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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