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Simplifying -5(h + 0.25) = -4.25 + -3.5h Reorder the terms: -5(0.25 + h) = -4.25 + -3.5h (0.25 * -5 + h * -5) = -4.25 + -3.5h (-1.25 + -5h) = -4.25 + -3.5h Solving -1.25 + -5h = -4.25 + -3.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '3.5h' to each side of the equation. -1.25 + -5h + 3.5h = -4.25 + -3.5h + 3.5h Combine like terms: -5h + 3.5h = -1.5h -1.25 + -1.5h = -4.25 + -3.5h + 3.5h Combine like terms: -3.5h + 3.5h = 0.0 -1.25 + -1.5h = -4.25 + 0.0 -1.25 + -1.5h = -4.25 Add '1.25' to each side of the equation. -1.25 + 1.25 + -1.5h = -4.25 + 1.25 Combine like terms: -1.25 + 1.25 = 0.00 0.00 + -1.5h = -4.25 + 1.25 -1.5h = -4.25 + 1.25 Combine like terms: -4.25 + 1.25 = -3 -1.5h = -3 Divide each side by '-1.5'. h = 2 Simplifying h = 2
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