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Simplifying 2.7h + 15 = 0.3(10 + -1h) Reorder the terms: 15 + 2.7h = 0.3(10 + -1h) 15 + 2.7h = (10 * 0.3 + -1h * 0.3) 15 + 2.7h = (3 + -0.3h) Solving 15 + 2.7h = 3 + -0.3h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '0.3h' to each side of the equation. 15 + 2.7h + 0.3h = 3 + -0.3h + 0.3h Combine like terms: 2.7h + 0.3h = 3h 15 + 3h = 3 + -0.3h + 0.3h Combine like terms: -0.3h + 0.3h = 0.0 15 + 3h = 3 + 0.0 15 + 3h = 3 Add '-15' to each side of the equation. 15 + -15 + 3h = 3 + -15 Combine like terms: 15 + -15 = 0 0 + 3h = 3 + -15 3h = 3 + -15 Combine like terms: 3 + -15 = -12 3h = -12 Divide each side by '3'. h = -4 Simplifying h = -4
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