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Simplifying -1.8(h + 3) + -1.3(2 + -1h) = 1 Reorder the terms: -1.8(3 + h) + -1.3(2 + -1h) = 1 (3 * -1.8 + h * -1.8) + -1.3(2 + -1h) = 1 (-5.4 + -1.8h) + -1.3(2 + -1h) = 1 -5.4 + -1.8h + (2 * -1.3 + -1h * -1.3) = 1 -5.4 + -1.8h + (-2.6 + 1.3h) = 1 Reorder the terms: -5.4 + -2.6 + -1.8h + 1.3h = 1 Combine like terms: -5.4 + -2.6 = -8 -8 + -1.8h + 1.3h = 1 Combine like terms: -1.8h + 1.3h = -0.5h -8 + -0.5h = 1 Solving -8 + -0.5h = 1 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + -0.5h = 1 + 8 Combine like terms: -8 + 8 = 0 0 + -0.5h = 1 + 8 -0.5h = 1 + 8 Combine like terms: 1 + 8 = 9 -0.5h = 9 Divide each side by '-0.5'. h = -18 Simplifying h = -18
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