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Simplifying -6(-13.4h + 2.99) = 5(15.6h + -2.58) Reorder the terms: -6(2.99 + -13.4h) = 5(15.6h + -2.58) (2.99 * -6 + -13.4h * -6) = 5(15.6h + -2.58) (-17.94 + 80.4h) = 5(15.6h + -2.58) Reorder the terms: -17.94 + 80.4h = 5(-2.58 + 15.6h) -17.94 + 80.4h = (-2.58 * 5 + 15.6h * 5) -17.94 + 80.4h = (-12.9 + 78h) Solving -17.94 + 80.4h = -12.9 + 78h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-78h' to each side of the equation. -17.94 + 80.4h + -78h = -12.9 + 78h + -78h Combine like terms: 80.4h + -78h = 2.4h -17.94 + 2.4h = -12.9 + 78h + -78h Combine like terms: 78h + -78h = 0 -17.94 + 2.4h = -12.9 + 0 -17.94 + 2.4h = -12.9 Add '17.94' to each side of the equation. -17.94 + 17.94 + 2.4h = -12.9 + 17.94 Combine like terms: -17.94 + 17.94 = 0.00 0.00 + 2.4h = -12.9 + 17.94 2.4h = -12.9 + 17.94 Combine like terms: -12.9 + 17.94 = 5.04 2.4h = 5.04 Divide each side by '2.4'. h = 2.1 Simplifying h = 2.1
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