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Simplifying -7(-7d + 11) = -6(-13d + -14) + 13 Reorder the terms: -7(11 + -7d) = -6(-13d + -14) + 13 (11 * -7 + -7d * -7) = -6(-13d + -14) + 13 (-77 + 49d) = -6(-13d + -14) + 13 Reorder the terms: -77 + 49d = -6(-14 + -13d) + 13 -77 + 49d = (-14 * -6 + -13d * -6) + 13 -77 + 49d = (84 + 78d) + 13 Reorder the terms: -77 + 49d = 84 + 13 + 78d Combine like terms: 84 + 13 = 97 -77 + 49d = 97 + 78d Solving -77 + 49d = 97 + 78d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-78d' to each side of the equation. -77 + 49d + -78d = 97 + 78d + -78d Combine like terms: 49d + -78d = -29d -77 + -29d = 97 + 78d + -78d Combine like terms: 78d + -78d = 0 -77 + -29d = 97 + 0 -77 + -29d = 97 Add '77' to each side of the equation. -77 + 77 + -29d = 97 + 77 Combine like terms: -77 + 77 = 0 0 + -29d = 97 + 77 -29d = 97 + 77 Combine like terms: 97 + 77 = 174 -29d = 174 Divide each side by '-29'. d = -6 Simplifying d = -6
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