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Simplifying 2(h + 7.5) = 12y + -5(2y + -7) Reorder the terms: 2(7.5 + h) = 12y + -5(2y + -7) (7.5 * 2 + h * 2) = 12y + -5(2y + -7) (15 + 2h) = 12y + -5(2y + -7) Reorder the terms: 15 + 2h = 12y + -5(-7 + 2y) 15 + 2h = 12y + (-7 * -5 + 2y * -5) 15 + 2h = 12y + (35 + -10y) Reorder the terms: 15 + 2h = 35 + 12y + -10y Combine like terms: 12y + -10y = 2y 15 + 2h = 35 + 2y Solving 15 + 2h = 35 + 2y Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + -15 + 2h = 35 + -15 + 2y Combine like terms: 15 + -15 = 0 0 + 2h = 35 + -15 + 2y 2h = 35 + -15 + 2y Combine like terms: 35 + -15 = 20 2h = 20 + 2y Divide each side by '2'. h = 10 + y Simplifying h = 10 + y
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