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Simplifying 3(h + -4) = -0.25(24 + -6h) Reorder the terms: 3(-4 + h) = -0.25(24 + -6h) (-4 * 3 + h * 3) = -0.25(24 + -6h) (-12 + 3h) = -0.25(24 + -6h) -12 + 3h = (24 * -0.25 + -6h * -0.25) -12 + 3h = (-6 + 1.5h) Solving -12 + 3h = -6 + 1.5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1.5h' to each side of the equation. -12 + 3h + -1.5h = -6 + 1.5h + -1.5h Combine like terms: 3h + -1.5h = 1.5h -12 + 1.5h = -6 + 1.5h + -1.5h Combine like terms: 1.5h + -1.5h = 0.0 -12 + 1.5h = -6 + 0.0 -12 + 1.5h = -6 Add '12' to each side of the equation. -12 + 12 + 1.5h = -6 + 12 Combine like terms: -12 + 12 = 0 0 + 1.5h = -6 + 12 1.5h = -6 + 12 Combine like terms: -6 + 12 = 6 1.5h = 6 Divide each side by '1.5'. h = 4 Simplifying h = 4
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