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Simplifying 5h + -1(h + 2) = 7 + (h + 3) Reorder the terms: 5h + -1(2 + h) = 7 + (h + 3) 5h + (2 * -1 + h * -1) = 7 + (h + 3) 5h + (-2 + -1h) = 7 + (h + 3) Reorder the terms: -2 + 5h + -1h = 7 + (h + 3) Combine like terms: 5h + -1h = 4h -2 + 4h = 7 + (h + 3) Reorder the terms: -2 + 4h = 7 + (3 + h) Remove parenthesis around (3 + h) -2 + 4h = 7 + 3 + h Combine like terms: 7 + 3 = 10 -2 + 4h = 10 + h Solving -2 + 4h = 10 + h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-1h' to each side of the equation. -2 + 4h + -1h = 10 + h + -1h Combine like terms: 4h + -1h = 3h -2 + 3h = 10 + h + -1h Combine like terms: h + -1h = 0 -2 + 3h = 10 + 0 -2 + 3h = 10 Add '2' to each side of the equation. -2 + 2 + 3h = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 3h = 10 + 2 3h = 10 + 2 Combine like terms: 10 + 2 = 12 3h = 12 Divide each side by '3'. h = 4 Simplifying h = 4
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