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Simplifying 5(2d + -3) = (6d + 11 + 2d) Reorder the terms: 5(-3 + 2d) = (6d + 11 + 2d) (-3 * 5 + 2d * 5) = (6d + 11 + 2d) (-15 + 10d) = (6d + 11 + 2d) Reorder the terms: -15 + 10d = (11 + 6d + 2d) Combine like terms: 6d + 2d = 8d -15 + 10d = (11 + 8d) Remove parenthesis around (11 + 8d) -15 + 10d = 11 + 8d Solving -15 + 10d = 11 + 8d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '-8d' to each side of the equation. -15 + 10d + -8d = 11 + 8d + -8d Combine like terms: 10d + -8d = 2d -15 + 2d = 11 + 8d + -8d Combine like terms: 8d + -8d = 0 -15 + 2d = 11 + 0 -15 + 2d = 11 Add '15' to each side of the equation. -15 + 15 + 2d = 11 + 15 Combine like terms: -15 + 15 = 0 0 + 2d = 11 + 15 2d = 11 + 15 Combine like terms: 11 + 15 = 26 2d = 26 Divide each side by '2'. d = 13 Simplifying d = 13
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