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Simplifying 5 + -3(2h + 6) = 7 + 5h Reorder the terms: 5 + -3(6 + 2h) = 7 + 5h 5 + (6 * -3 + 2h * -3) = 7 + 5h 5 + (-18 + -6h) = 7 + 5h Combine like terms: 5 + -18 = -13 -13 + -6h = 7 + 5h Solving -13 + -6h = 7 + 5h Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '-5h' to each side of the equation. -13 + -6h + -5h = 7 + 5h + -5h Combine like terms: -6h + -5h = -11h -13 + -11h = 7 + 5h + -5h Combine like terms: 5h + -5h = 0 -13 + -11h = 7 + 0 -13 + -11h = 7 Add '13' to each side of the equation. -13 + 13 + -11h = 7 + 13 Combine like terms: -13 + 13 = 0 0 + -11h = 7 + 13 -11h = 7 + 13 Combine like terms: 7 + 13 = 20 -11h = 20 Divide each side by '-11'. h = -1.818181818 Simplifying h = -1.818181818
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