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Simplifying -3(h + -6) = 5(2h + 3) Reorder the terms: -3(-6 + h) = 5(2h + 3) (-6 * -3 + h * -3) = 5(2h + 3) (18 + -3h) = 5(2h + 3) Reorder the terms: 18 + -3h = 5(3 + 2h) 18 + -3h = (3 * 5 + 2h * 5) 18 + -3h = (15 + 10h) Solving 18 + -3h = 15 + 10h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-10h' to each side of the equation. 18 + -3h + -10h = 15 + 10h + -10h Combine like terms: -3h + -10h = -13h 18 + -13h = 15 + 10h + -10h Combine like terms: 10h + -10h = 0 18 + -13h = 15 + 0 18 + -13h = 15 Add '-18' to each side of the equation. 18 + -18 + -13h = 15 + -18 Combine like terms: 18 + -18 = 0 0 + -13h = 15 + -18 -13h = 15 + -18 Combine like terms: 15 + -18 = -3 -13h = -3 Divide each side by '-13'. h = 0.2307692308 Simplifying h = 0.2307692308
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