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Simplifying -2(3h + -1) = 5(2h + -3) Reorder the terms: -2(-1 + 3h) = 5(2h + -3) (-1 * -2 + 3h * -2) = 5(2h + -3) (2 + -6h) = 5(2h + -3) Reorder the terms: 2 + -6h = 5(-3 + 2h) 2 + -6h = (-3 * 5 + 2h * 5) 2 + -6h = (-15 + 10h) Solving 2 + -6h = -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. 2 + -6h + -10h = -15 + 10h + -10h Combine like terms: -6h + -10h = -16h 2 + -16h = -15 + 10h + -10h Combine like terms: 10h + -10h = 0 2 + -16h = -15 + 0 2 + -16h = -15 Add '-2' to each side of the equation. 2 + -2 + -16h = -15 + -2 Combine like terms: 2 + -2 = 0 0 + -16h = -15 + -2 -16h = -15 + -2 Combine like terms: -15 + -2 = -17 -16h = -17 Divide each side by '-16'. h = 1.0625 Simplifying h = 1.0625
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