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Simplifying 7 + 2.5(h + -5) = h + -8.5 Reorder the terms: 7 + 2.5(-5 + h) = h + -8.5 7 + (-5 * 2.5 + h * 2.5) = h + -8.5 7 + (-12.5 + 2.5h) = h + -8.5 Combine like terms: 7 + -12.5 = -5.5 -5.5 + 2.5h = h + -8.5 Reorder the terms: -5.5 + 2.5h = -8.5 + h Solving -5.5 + 2.5h = -8.5 + h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. -5.5 + 2.5h + -1h = -8.5 + h + -1h Combine like terms: 2.5h + -1h = 1.5h -5.5 + 1.5h = -8.5 + h + -1h Combine like terms: h + -1h = 0 -5.5 + 1.5h = -8.5 + 0 -5.5 + 1.5h = -8.5 Add '5.5' to each side of the equation. -5.5 + 5.5 + 1.5h = -8.5 + 5.5 Combine like terms: -5.5 + 5.5 = 0.0 0.0 + 1.5h = -8.5 + 5.5 1.5h = -8.5 + 5.5 Combine like terms: -8.5 + 5.5 = -3 1.5h = -3 Divide each side by '1.5'. h = -2 Simplifying h = -2
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