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Simplifying -19 + -1h + -19 = -3(3h + -14) Reorder the terms: -19 + -19 + -1h = -3(3h + -14) Combine like terms: -19 + -19 = -38 -38 + -1h = -3(3h + -14) Reorder the terms: -38 + -1h = -3(-14 + 3h) -38 + -1h = (-14 * -3 + 3h * -3) -38 + -1h = (42 + -9h) Solving -38 + -1h = 42 + -9h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '9h' to each side of the equation. -38 + -1h + 9h = 42 + -9h + 9h Combine like terms: -1h + 9h = 8h -38 + 8h = 42 + -9h + 9h Combine like terms: -9h + 9h = 0 -38 + 8h = 42 + 0 -38 + 8h = 42 Add '38' to each side of the equation. -38 + 38 + 8h = 42 + 38 Combine like terms: -38 + 38 = 0 0 + 8h = 42 + 38 8h = 42 + 38 Combine like terms: 42 + 38 = 80 8h = 80 Divide each side by '8'. h = 10 Simplifying h = 10
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