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Simplifying -5(3h + 2) = -9h + -34 Reorder the terms: -5(2 + 3h) = -9h + -34 (2 * -5 + 3h * -5) = -9h + -34 (-10 + -15h) = -9h + -34 Reorder the terms: -10 + -15h = -34 + -9h Solving -10 + -15h = -34 + -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. -10 + -15h + 9h = -34 + -9h + 9h Combine like terms: -15h + 9h = -6h -10 + -6h = -34 + -9h + 9h Combine like terms: -9h + 9h = 0 -10 + -6h = -34 + 0 -10 + -6h = -34 Add '10' to each side of the equation. -10 + 10 + -6h = -34 + 10 Combine like terms: -10 + 10 = 0 0 + -6h = -34 + 10 -6h = -34 + 10 Combine like terms: -34 + 10 = -24 -6h = -24 Divide each side by '-6'. h = 4 Simplifying h = 4
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