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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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