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Simplifying 148 = 2(6w + 6h + hw) Reorder the terms: 148 = 2(6h + hw + 6w) 148 = (6h * 2 + hw * 2 + 6w * 2) 148 = (12h + 2hw + 12w) Solving 148 = 12h + 2hw + 12w Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-12h' to each side of the equation. 148 + -12h = 12h + 2hw + -12h + 12w Reorder the terms: 148 + -12h = 12h + -12h + 2hw + 12w Combine like terms: 12h + -12h = 0 148 + -12h = 0 + 2hw + 12w 148 + -12h = 2hw + 12w Add '-2hw' to each side of the equation. 148 + -12h + -2hw = 2hw + -2hw + 12w Combine like terms: 2hw + -2hw = 0 148 + -12h + -2hw = 0 + 12w 148 + -12h + -2hw = 12w Add '-148' to each side of the equation. 148 + -12h + -148 + -2hw = -148 + 12w Reorder the terms: 148 + -148 + -12h + -2hw = -148 + 12w Combine like terms: 148 + -148 = 0 0 + -12h + -2hw = -148 + 12w -12h + -2hw = -148 + 12w Reorder the terms: 148 + -12h + -2hw + -12w = -148 + 12w + 148 + -12w Reorder the terms: 148 + -12h + -2hw + -12w = -148 + 148 + 12w + -12w Combine like terms: -148 + 148 = 0 148 + -12h + -2hw + -12w = 0 + 12w + -12w 148 + -12h + -2hw + -12w = 12w + -12w Combine like terms: 12w + -12w = 0 148 + -12h + -2hw + -12w = 0 Factor out the Greatest Common Factor (GCF), '2'. 2(74 + -6h + -1hw + -6w) = 0 Ignore the factor 2.Subproblem 1
Set the factor '(74 + -6h + -1hw + -6w)' equal to zero and attempt to solve: Simplifying 74 + -6h + -1hw + -6w = 0 Solving 74 + -6h + -1hw + -6w = 0 Move all terms containing h to the left, all other terms to the right. Add '-74' to each side of the equation. 74 + -6h + -1hw + -74 + -6w = 0 + -74 Reorder the terms: 74 + -74 + -6h + -1hw + -6w = 0 + -74 Combine like terms: 74 + -74 = 0 0 + -6h + -1hw + -6w = 0 + -74 -6h + -1hw + -6w = 0 + -74 Combine like terms: 0 + -74 = -74 -6h + -1hw + -6w = -74 Add '6w' to each side of the equation. -6h + -1hw + -6w + 6w = -74 + 6w Combine like terms: -6w + 6w = 0 -6h + -1hw + 0 = -74 + 6w -6h + -1hw = -74 + 6w 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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