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