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Simplifying 61.95 = (4.31)(h) + (3.41)(4 + -1h) 61.95 = 4.31h + (4 * 3.41 + -1h * 3.41) 61.95 = 4.31h + (13.64 + -3.41h) Reorder the terms: 61.95 = 13.64 + 4.31h + -3.41h Combine like terms: 4.31h + -3.41h = 0.9h 61.95 = 13.64 + 0.9h Solving 61.95 = 13.64 + 0.9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-0.9h' to each side of the equation. 61.95 + -0.9h = 13.64 + 0.9h + -0.9h Combine like terms: 0.9h + -0.9h = 0.0 61.95 + -0.9h = 13.64 + 0.0 61.95 + -0.9h = 13.64 Add '-61.95' to each side of the equation. 61.95 + -61.95 + -0.9h = 13.64 + -61.95 Combine like terms: 61.95 + -61.95 = 0.00 0.00 + -0.9h = 13.64 + -61.95 -0.9h = 13.64 + -61.95 Combine like terms: 13.64 + -61.95 = -48.31 -0.9h = -48.31 Divide each side by '-0.9'. h = 53.67777778 Simplifying h = 53.67777778
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