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Simplifying 5(6d + -4) + 11 = 13d + -3 Reorder the terms: 5(-4 + 6d) + 11 = 13d + -3 (-4 * 5 + 6d * 5) + 11 = 13d + -3 (-20 + 30d) + 11 = 13d + -3 Reorder the terms: -20 + 11 + 30d = 13d + -3 Combine like terms: -20 + 11 = -9 -9 + 30d = 13d + -3 Reorder the terms: -9 + 30d = -3 + 13d Solving -9 + 30d = -3 + 13d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-13d' to each side of the equation. -9 + 30d + -13d = -3 + 13d + -13d Combine like terms: 30d + -13d = 17d -9 + 17d = -3 + 13d + -13d Combine like terms: 13d + -13d = 0 -9 + 17d = -3 + 0 -9 + 17d = -3 Add '9' to each side of the equation. -9 + 9 + 17d = -3 + 9 Combine like terms: -9 + 9 = 0 0 + 17d = -3 + 9 17d = -3 + 9 Combine like terms: -3 + 9 = 6 17d = 6 Divide each side by '17'. d = 0.3529411765 Simplifying d = 0.3529411765
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