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Simplifying -3(h + 1.4) = 11(5 + -1h) Reorder the terms: -3(1.4 + h) = 11(5 + -1h) (1.4 * -3 + h * -3) = 11(5 + -1h) (-4.2 + -3h) = 11(5 + -1h) -4.2 + -3h = (5 * 11 + -1h * 11) -4.2 + -3h = (55 + -11h) Solving -4.2 + -3h = 55 + -11h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '11h' to each side of the equation. -4.2 + -3h + 11h = 55 + -11h + 11h Combine like terms: -3h + 11h = 8h -4.2 + 8h = 55 + -11h + 11h Combine like terms: -11h + 11h = 0 -4.2 + 8h = 55 + 0 -4.2 + 8h = 55 Add '4.2' to each side of the equation. -4.2 + 4.2 + 8h = 55 + 4.2 Combine like terms: -4.2 + 4.2 = 0.0 0.0 + 8h = 55 + 4.2 8h = 55 + 4.2 Combine like terms: 55 + 4.2 = 59.2 8h = 59.2 Divide each side by '8'. h = 7.4 Simplifying h = 7.4
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