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Simplifying 3[2d + -8] = 11d + -18[d + -3] Reorder the terms: 3[-8 + 2d] = 11d + -18[d + -3] [-8 * 3 + 2d * 3] = 11d + -18[d + -3] [-24 + 6d] = 11d + -18[d + -3] Reorder the terms: -24 + 6d = 11d + -18[-3 + d] -24 + 6d = 11d + [-3 * -18 + d * -18] -24 + 6d = 11d + [54 + -18d] Reorder the terms: -24 + 6d = 54 + 11d + -18d Combine like terms: 11d + -18d = -7d -24 + 6d = 54 + -7d Solving -24 + 6d = 54 + -7d Solving for variable 'd'. Move all terms containing d to the left, all other terms to the right. Add '7d' to each side of the equation. -24 + 6d + 7d = 54 + -7d + 7d Combine like terms: 6d + 7d = 13d -24 + 13d = 54 + -7d + 7d Combine like terms: -7d + 7d = 0 -24 + 13d = 54 + 0 -24 + 13d = 54 Add '24' to each side of the equation. -24 + 24 + 13d = 54 + 24 Combine like terms: -24 + 24 = 0 0 + 13d = 54 + 24 13d = 54 + 24 Combine like terms: 54 + 24 = 78 13d = 78 Divide each side by '13'. d = 6 Simplifying d = 6
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