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Simplifying -13 = -2h + 0.2(20 + -6h) -13 = -2h + (20 * 0.2 + -6h * 0.2) -13 = -2h + (4 + -1.2h) Reorder the terms: -13 = 4 + -2h + -1.2h Combine like terms: -2h + -1.2h = -3.2h -13 = 4 + -3.2h Solving -13 = 4 + -3.2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3.2h' to each side of the equation. -13 + 3.2h = 4 + -3.2h + 3.2h Combine like terms: -3.2h + 3.2h = 0.0 -13 + 3.2h = 4 + 0.0 -13 + 3.2h = 4 Add '13' to each side of the equation. -13 + 13 + 3.2h = 4 + 13 Combine like terms: -13 + 13 = 0 0 + 3.2h = 4 + 13 3.2h = 4 + 13 Combine like terms: 4 + 13 = 17 3.2h = 17 Divide each side by '3.2'. h = 5.3125 Simplifying h = 5.3125
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