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Simplifying 6(h + -12) + 5(h + -13) = 6 Reorder the terms: 6(-12 + h) + 5(h + -13) = 6 (-12 * 6 + h * 6) + 5(h + -13) = 6 (-72 + 6h) + 5(h + -13) = 6 Reorder the terms: -72 + 6h + 5(-13 + h) = 6 -72 + 6h + (-13 * 5 + h * 5) = 6 -72 + 6h + (-65 + 5h) = 6 Reorder the terms: -72 + -65 + 6h + 5h = 6 Combine like terms: -72 + -65 = -137 -137 + 6h + 5h = 6 Combine like terms: 6h + 5h = 11h -137 + 11h = 6 Solving -137 + 11h = 6 Solving for variable 'h'. Move all terms containing h to the left, all other terms to the right. Add '137' to each side of the equation. -137 + 137 + 11h = 6 + 137 Combine like terms: -137 + 137 = 0 0 + 11h = 6 + 137 11h = 6 + 137 Combine like terms: 6 + 137 = 143 11h = 143 Divide each side by '11'. h = 13 Simplifying h = 13
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