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Simplifying 5h + -23 = -2(h + 1) Reorder the terms: -23 + 5h = -2(h + 1) Reorder the terms: -23 + 5h = -2(1 + h) -23 + 5h = (1 * -2 + h * -2) -23 + 5h = (-2 + -2h) Solving -23 + 5h = -2 + -2h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '2h' to each side of the equation. -23 + 5h + 2h = -2 + -2h + 2h Combine like terms: 5h + 2h = 7h -23 + 7h = -2 + -2h + 2h Combine like terms: -2h + 2h = 0 -23 + 7h = -2 + 0 -23 + 7h = -2 Add '23' to each side of the equation. -23 + 23 + 7h = -2 + 23 Combine like terms: -23 + 23 = 0 0 + 7h = -2 + 23 7h = -2 + 23 Combine like terms: -2 + 23 = 21 7h = 21 Divide each side by '7'. h = 3 Simplifying h = 3
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