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Simplifying -3(19h + -12) + -5h = -5(15h + -2) Reorder the terms: -3(-12 + 19h) + -5h = -5(15h + -2) (-12 * -3 + 19h * -3) + -5h = -5(15h + -2) (36 + -57h) + -5h = -5(15h + -2) Combine like terms: -57h + -5h = -62h 36 + -62h = -5(15h + -2) Reorder the terms: 36 + -62h = -5(-2 + 15h) 36 + -62h = (-2 * -5 + 15h * -5) 36 + -62h = (10 + -75h) Solving 36 + -62h = 10 + -75h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '75h' to each side of the equation. 36 + -62h + 75h = 10 + -75h + 75h Combine like terms: -62h + 75h = 13h 36 + 13h = 10 + -75h + 75h Combine like terms: -75h + 75h = 0 36 + 13h = 10 + 0 36 + 13h = 10 Add '-36' to each side of the equation. 36 + -36 + 13h = 10 + -36 Combine like terms: 36 + -36 = 0 0 + 13h = 10 + -36 13h = 10 + -36 Combine like terms: 10 + -36 = -26 13h = -26 Divide each side by '13'. h = -2 Simplifying h = -2
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