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Simplifying 2(h + 3) + -11 = 5(h + -2) Reorder the terms: 2(3 + h) + -11 = 5(h + -2) (3 * 2 + h * 2) + -11 = 5(h + -2) (6 + 2h) + -11 = 5(h + -2) Reorder the terms: 6 + -11 + 2h = 5(h + -2) Combine like terms: 6 + -11 = -5 -5 + 2h = 5(h + -2) Reorder the terms: -5 + 2h = 5(-2 + h) -5 + 2h = (-2 * 5 + h * 5) -5 + 2h = (-10 + 5h) Solving -5 + 2h = -10 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. -5 + 2h + -5h = -10 + 5h + -5h Combine like terms: 2h + -5h = -3h -5 + -3h = -10 + 5h + -5h Combine like terms: 5h + -5h = 0 -5 + -3h = -10 + 0 -5 + -3h = -10 Add '5' to each side of the equation. -5 + 5 + -3h = -10 + 5 Combine like terms: -5 + 5 = 0 0 + -3h = -10 + 5 -3h = -10 + 5 Combine like terms: -10 + 5 = -5 -3h = -5 Divide each side by '-3'. h = 1.666666667 Simplifying h = 1.666666667
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