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Simplifying H + -1(2h + 4) = 5(h + -1) + 3 Reorder the terms: H + -1(4 + 2h) = 5(h + -1) + 3 H + (4 * -1 + 2h * -1) = 5(h + -1) + 3 H + (-4 + -2h) = 5(h + -1) + 3 Reorder the terms: -4 + H + -2h = 5(h + -1) + 3 Reorder the terms: -4 + H + -2h = 5(-1 + h) + 3 -4 + H + -2h = (-1 * 5 + h * 5) + 3 -4 + H + -2h = (-5 + 5h) + 3 Reorder the terms: -4 + H + -2h = -5 + 3 + 5h Combine like terms: -5 + 3 = -2 -4 + H + -2h = -2 + 5h Solving -4 + H + -2h = -2 + 5h Solving for variable 'H'. Move all terms containing H to the left, all other terms to the right. Add '4' to each side of the equation. -4 + H + 4 + -2h = -2 + 4 + 5h Reorder the terms: -4 + 4 + H + -2h = -2 + 4 + 5h Combine like terms: -4 + 4 = 0 0 + H + -2h = -2 + 4 + 5h H + -2h = -2 + 4 + 5h Combine like terms: -2 + 4 = 2 H + -2h = 2 + 5h Add '2h' to each side of the equation. H + -2h + 2h = 2 + 5h + 2h Combine like terms: -2h + 2h = 0 H + 0 = 2 + 5h + 2h H = 2 + 5h + 2h Combine like terms: 5h + 2h = 7h H = 2 + 7h Simplifying H = 2 + 7h
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