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Simplifying -14 = 2(6 + -1h) + 6(7 + 6h) -14 = (6 * 2 + -1h * 2) + 6(7 + 6h) -14 = (12 + -2h) + 6(7 + 6h) -14 = 12 + -2h + (7 * 6 + 6h * 6) -14 = 12 + -2h + (42 + 36h) Reorder the terms: -14 = 12 + 42 + -2h + 36h Combine like terms: 12 + 42 = 54 -14 = 54 + -2h + 36h Combine like terms: -2h + 36h = 34h -14 = 54 + 34h Solving -14 = 54 + 34h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-34h' to each side of the equation. -14 + -34h = 54 + 34h + -34h Combine like terms: 34h + -34h = 0 -14 + -34h = 54 + 0 -14 + -34h = 54 Add '14' to each side of the equation. -14 + 14 + -34h = 54 + 14 Combine like terms: -14 + 14 = 0 0 + -34h = 54 + 14 -34h = 54 + 14 Combine like terms: 54 + 14 = 68 -34h = 68 Divide each side by '-34'. h = -2 Simplifying h = -2
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