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Simplifying -15(3h + 2) = -9h + -34 Reorder the terms: -15(2 + 3h) = -9h + -34 (2 * -15 + 3h * -15) = -9h + -34 (-30 + -45h) = -9h + -34 Reorder the terms: -30 + -45h = -34 + -9h Solving -30 + -45h = -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. -30 + -45h + 9h = -34 + -9h + 9h Combine like terms: -45h + 9h = -36h -30 + -36h = -34 + -9h + 9h Combine like terms: -9h + 9h = 0 -30 + -36h = -34 + 0 -30 + -36h = -34 Add '30' to each side of the equation. -30 + 30 + -36h = -34 + 30 Combine like terms: -30 + 30 = 0 0 + -36h = -34 + 30 -36h = -34 + 30 Combine like terms: -34 + 30 = -4 -36h = -4 Divide each side by '-36'. h = 0.1111111111 Simplifying h = 0.1111111111
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